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Finding the Third Proportional to 110,982 and 242,691

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Solution

The third proportional to 110,982 and 242,691 is: 530,706.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,982 : 242,691 = 242,691 : x
  2. Step 2: Convert to fraction form
    110,982/242,691 = 242,691/x
  3. Step 3: Cross multiply
    110,982x = 242,691 × 242,691
  4. Step 4: Simplify right side
    110,982x = 58,898,921,481
  5. Step 5: Solve for x
    x = 58,898,921,481/110,982
  6. Step 6: Final answer
    x = 530,706.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.