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Finding the Third Proportional to 156,743 and 204,192

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Solution

The third proportional to 156,743 and 204,192 is: 266,004.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,743 : 204,192 = 204,192 : x
  2. Step 2: Convert to fraction form
    156,743/204,192 = 204,192/x
  3. Step 3: Cross multiply
    156,743x = 204,192 × 204,192
  4. Step 4: Simplify right side
    156,743x = 41,694,372,864
  5. Step 5: Solve for x
    x = 41,694,372,864/156,743
  6. Step 6: Final answer
    x = 266,004.69

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.