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Finding the Third Proportional to 138,766 and 327,467

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Solution

The third proportional to 138,766 and 327,467 is: 772,773.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,766 : 327,467 = 327,467 : x
  2. Step 2: Convert to fraction form
    138,766/327,467 = 327,467/x
  3. Step 3: Cross multiply
    138,766x = 327,467 × 327,467
  4. Step 4: Simplify right side
    138,766x = 107,234,636,089
  5. Step 5: Solve for x
    x = 107,234,636,089/138,766
  6. Step 6: Final answer
    x = 772,773.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.