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Finding the Third Proportional to 172,524 and 371,292

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Solution

The third proportional to 172,524 and 371,292 is: 799,064.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,524 : 371,292 = 371,292 : x
  2. Step 2: Convert to fraction form
    172,524/371,292 = 371,292/x
  3. Step 3: Cross multiply
    172,524x = 371,292 × 371,292
  4. Step 4: Simplify right side
    172,524x = 137,857,749,264
  5. Step 5: Solve for x
    x = 137,857,749,264/172,524
  6. Step 6: Final answer
    x = 799,064.18

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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.