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The mean proportional of two numbers is the same as the geometric mean of the the two numbers.

Geometric mean of two numbers x and y =  \sqrt{xy}

So mean proportional of a - b and a³ - a²b is 

 =\sqrt{(a-b)(a^3-a^2b)} \\= \sqrt{(a-b)*a^2(a-b)}\\ = \sqrt{a^2*(a-b)^2} \\=\boxed{a(a-b)}
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