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Finding the Third Proportional to 131,982 and 278,814

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Solution

The third proportional to 131,982 and 278,814 is: 588,998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,982 : 278,814 = 278,814 : x
  2. Step 2: Convert to fraction form
    131,982/278,814 = 278,814/x
  3. Step 3: Cross multiply
    131,982x = 278,814 × 278,814
  4. Step 4: Simplify right side
    131,982x = 77,737,246,596
  5. Step 5: Solve for x
    x = 77,737,246,596/131,982
  6. Step 6: Final answer
    x = 588,998.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.