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Finding the Third Proportional to 156,496 and 337,292

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Solution

The third proportional to 156,496 and 337,292 is: 726,957.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,496 : 337,292 = 337,292 : x
  2. Step 2: Convert to fraction form
    156,496/337,292 = 337,292/x
  3. Step 3: Cross multiply
    156,496x = 337,292 × 337,292
  4. Step 4: Simplify right side
    156,496x = 113,765,893,264
  5. Step 5: Solve for x
    x = 113,765,893,264/156,496
  6. Step 6: Final answer
    x = 726,957.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.