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Finding the Third Proportional to 156,730 and 337,027

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Solution

The third proportional to 156,730 and 337,027 is: 724,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,730 : 337,027 = 337,027 : x
  2. Step 2: Convert to fraction form
    156,730/337,027 = 337,027/x
  3. Step 3: Cross multiply
    156,730x = 337,027 × 337,027
  4. Step 4: Simplify right side
    156,730x = 113,587,198,729
  5. Step 5: Solve for x
    x = 113,587,198,729/156,730
  6. Step 6: Final answer
    x = 724,731.70

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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.