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Finding the Third Proportional to 181,497 and 416,586

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Solution

The third proportional to 181,497 and 416,586 is: 956,180.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,497 : 416,586 = 416,586 : x
  2. Step 2: Convert to fraction form
    181,497/416,586 = 416,586/x
  3. Step 3: Cross multiply
    181,497x = 416,586 × 416,586
  4. Step 4: Simplify right side
    181,497x = 173,543,895,396
  5. Step 5: Solve for x
    x = 173,543,895,396/181,497
  6. Step 6: Final answer
    x = 956,180.52

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.