Two identical blue boxes together weigh the same as three identical red boxes together. Each red box weighs 15.2 ounces. How much does one blue box weigh in ounces?
Since one red box weighs 15.2 ounces, three red boxes weigh 45.6 ounces.  This is the same as two blue boxes, so  we have the equation $2b=45.6$ where $b$ represents the weight of the blue box. Solving the equation by multiplying both sides by $\frac{1}{2}$ to isolate $b$ gives us $b=\boxed{22.8}$ ounces.