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Finding the Third Proportional to 140,170 and 217,638

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Solution

The third proportional to 140,170 and 217,638 is: 337,920.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,170 : 217,638 = 217,638 : x
  2. Step 2: Convert to fraction form
    140,170/217,638 = 217,638/x
  3. Step 3: Cross multiply
    140,170x = 217,638 × 217,638
  4. Step 4: Simplify right side
    140,170x = 47,366,299,044
  5. Step 5: Solve for x
    x = 47,366,299,044/140,170
  6. Step 6: Final answer
    x = 337,920.38

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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.