Lana and Mike are taking their dog and renting a cabin in the mountains for 2 weeks.  The daily rate is $125.00  There is a $100.00 pet fee.  There is also a 20% service/cleaning fee for the rental.  They need to pay 50% of the entire bill as a security deposit.  How much is their security deposit?
Please reason step by step, and put your final answer within \boxed{}.
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