A city plans to install solar-powered streetlights along a 10-mile stretch of road. Each streetlight requires a solar panel with a capacity of 250 watts. The local utility company offers a rebate program that covers 30% of the cost of solar panels, which have an average price of $1 per watt. Calculate the total cost of solar panels for this project, factoring in the rebate program, and estimate the number of streetlights that can be installed based on a spacing requirement of one streetlight every 200 feet.

First, we need to find the total number of streetlights that can be installed along the 10-mile stretch. There are 5280 feet in a mile, so there are 5280 * 10 = <<5280*10=52800>>52,800 feet in 10 miles.

If one streetlight is required every 200 feet, then the number of streetlights needed is 52,800 / 200 = <<52800/200=264>>264 streetlights.

Each solar panel has a capacity of 250 watts and costs $1 per watt, so each solar panel costs 250 * $1 = $<<250*1=250>>250.

The rebate program covers 30% of the cost of the solar panels, so the rebate amount for each solar panel is $250 * 0.3 = $<<250*0.3=75>>75.

After factoring in the rebate, the cost of each solar panel is $250 - $75 = $<<250-75=175>>175.

Finally, we can calculate the total cost of solar panels for this project by multiplying the cost of each solar panel by the number of streetlights: $175 * 264 = $<<175*264=46200>>46,200. Answer: \boxed{46,200}.