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Finding the Third Proportional to 172,469 and 371,163

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Solution

The third proportional to 172,469 and 371,163 is: 798,763.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,469 : 371,163 = 371,163 : x
  2. Step 2: Convert to fraction form
    172,469/371,163 = 371,163/x
  3. Step 3: Cross multiply
    172,469x = 371,163 × 371,163
  4. Step 4: Simplify right side
    172,469x = 137,761,972,569
  5. Step 5: Solve for x
    x = 137,761,972,569/172,469
  6. Step 6: Final answer
    x = 798,763.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.