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Finding the Third Proportional to 100,331 and 217,942

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Solution

The third proportional to 100,331 and 217,942 is: 473,420.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,331 : 217,942 = 217,942 : x
  2. Step 2: Convert to fraction form
    100,331/217,942 = 217,942/x
  3. Step 3: Cross multiply
    100,331x = 217,942 × 217,942
  4. Step 4: Simplify right side
    100,331x = 47,498,715,364
  5. Step 5: Solve for x
    x = 47,498,715,364/100,331
  6. Step 6: Final answer
    x = 473,420.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.