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Finding the Third Proportional to 71,358.38 and 156,841.50

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Solution

The third proportional to 71,358.38 and 156,841.50 is: 344,728.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,358.38 : 156,841.50 = 156,841.50 : x
  2. Step 2: Convert to fraction form
    71,358.38/156,841.50 = 156,841.50/x
  3. Step 3: Cross multiply
    71,358.38x = 156,841.50 × 156,841.50
  4. Step 4: Simplify right side
    71,358.38x = 24,599,256,122.25
  5. Step 5: Solve for x
    x = 24,599,256,122.25/71,358.38
  6. Step 6: Final answer
    x = 344,728.37

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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.