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Finding the Third Proportional to 100,331 and 155,402

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Solution

The third proportional to 100,331 and 155,402 is: 240,701.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,331 : 155,402 = 155,402 : x
  2. Step 2: Convert to fraction form
    100,331/155,402 = 155,402/x
  3. Step 3: Cross multiply
    100,331x = 155,402 × 155,402
  4. Step 4: Simplify right side
    100,331x = 24,149,781,604
  5. Step 5: Solve for x
    x = 24,149,781,604/100,331
  6. Step 6: Final answer
    x = 240,701.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.