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Finding the Third Proportional to 156,672 and 344,448

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Solution

The third proportional to 156,672 and 344,448 is: 757,279.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,672 : 344,448 = 344,448 : x
  2. Step 2: Convert to fraction form
    156,672/344,448 = 344,448/x
  3. Step 3: Cross multiply
    156,672x = 344,448 × 344,448
  4. Step 4: Simplify right side
    156,672x = 118,644,424,704
  5. Step 5: Solve for x
    x = 118,644,424,704/156,672
  6. Step 6: Final answer
    x = 757,279.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.