Finding the Third Proportional to 293 and 471.75
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Solution
The third proportional to 293 and 471.75 is: 759.55
Step by Step Solution
- Step 1: Write the proportion equation
293 : 471.75 = 471.75 : x - Step 2: Convert to fraction form
293/471.75 = 471.75/x - Step 3: Cross multiply
293x = 471.75 × 471.75 - Step 4: Simplify right side
293x = 222,548.06 - Step 5: Solve for x
x = 222,548.06/293 - Step 6: Final answer
x = 759.55
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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.