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Finding the Third Proportional to 156,736 and 337,039

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Solution

The third proportional to 156,736 and 337,039 is: 724,755.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,736 : 337,039 = 337,039 : x
  2. Step 2: Convert to fraction form
    156,736/337,039 = 337,039/x
  3. Step 3: Cross multiply
    156,736x = 337,039 × 337,039
  4. Step 4: Simplify right side
    156,736x = 113,595,287,521
  5. Step 5: Solve for x
    x = 113,595,287,521/156,736
  6. Step 6: Final answer
    x = 724,755.56

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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.