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Finding the Third Proportional to 156,934 and 239,505

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Solution

The third proportional to 156,934 and 239,505 is: 365,520.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,934 : 239,505 = 239,505 : x
  2. Step 2: Convert to fraction form
    156,934/239,505 = 239,505/x
  3. Step 3: Cross multiply
    156,934x = 239,505 × 239,505
  4. Step 4: Simplify right side
    156,934x = 57,362,645,025
  5. Step 5: Solve for x
    x = 57,362,645,025/156,934
  6. Step 6: Final answer
    x = 365,520.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.