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If a, b and c are in continued proportio...

If `a`, `b` and `c` are in continued proportion, prove that :
(i) `(a^(2) + ab + b^(2))/(b^(2) + bc + c^(2)) = (a)/(c)
(ii) (a^(2) + b^(2) + c^(2))/((a + b + c)^(2)) = (a - b + c)/(a + b + c)`.

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