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Finding the Third Proportional to 157,926 and 337,560

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Solution

The third proportional to 157,926 and 337,560 is: 721,519.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,926 : 337,560 = 337,560 : x
  2. Step 2: Convert to fraction form
    157,926/337,560 = 337,560/x
  3. Step 3: Cross multiply
    157,926x = 337,560 × 337,560
  4. Step 4: Simplify right side
    157,926x = 113,946,753,600
  5. Step 5: Solve for x
    x = 113,946,753,600/157,926
  6. Step 6: Final answer
    x = 721,519.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.