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Finding the Third Proportional to 156,638 and 235,691

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Solution

The third proportional to 156,638 and 235,691 is: 354,640.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,638 : 235,691 = 235,691 : x
  2. Step 2: Convert to fraction form
    156,638/235,691 = 235,691/x
  3. Step 3: Cross multiply
    156,638x = 235,691 × 235,691
  4. Step 4: Simplify right side
    156,638x = 55,550,247,481
  5. Step 5: Solve for x
    x = 55,550,247,481/156,638
  6. Step 6: Final answer
    x = 354,640.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.