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Finding the Third Proportional to 133,934 and 207,516

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Solution

The third proportional to 133,934 and 207,516 is: 321,523.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,934 : 207,516 = 207,516 : x
  2. Step 2: Convert to fraction form
    133,934/207,516 = 207,516/x
  3. Step 3: Cross multiply
    133,934x = 207,516 × 207,516
  4. Step 4: Simplify right side
    133,934x = 43,062,890,256
  5. Step 5: Solve for x
    x = 43,062,890,256/133,934
  6. Step 6: Final answer
    x = 321,523.21

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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.