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Finding the Third Proportional to 181,523 and 266,452

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Solution

The third proportional to 181,523 and 266,452 is: 391,116.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,523 : 266,452 = 266,452 : x
  2. Step 2: Convert to fraction form
    181,523/266,452 = 266,452/x
  3. Step 3: Cross multiply
    181,523x = 266,452 × 266,452
  4. Step 4: Simplify right side
    181,523x = 70,996,668,304
  5. Step 5: Solve for x
    x = 70,996,668,304/181,523
  6. Step 6: Final answer
    x = 391,116.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.