Finding the Third Proportional to 160 and 413
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Solution
The third proportional to 160 and 413 is: 1,066.06
Step by Step Solution
- Step 1: Write the proportion equation
160 : 413 = 413 : x - Step 2: Convert to fraction form
160/413 = 413/x - Step 3: Cross multiply
160x = 413 × 413 - Step 4: Simplify right side
160x = 170,569 - Step 5: Solve for x
x = 170,569/160 - Step 6: Final answer
x = 1,066.06
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These problems maintain the same ratio (2.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.