If x, y, z are in continued proportion then (x^2 + y^2)/(y^2 + z^2) is equal to ______.

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If x, y, z are in continued proportion then (x^2 + y^2)/(y^2 + z^2) is equal to bb(x/z). Explanation: If x, y, z are in continued proportion then, x/y = y/z y2 = xz Substitute y2 = xz into the expression: (x^2 + y^2)/(y^2 + z^2) = (x^2 + xz)/(xz + z^2) = (x(x + z))/(z(x + z)) = x/z

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