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Finding the Third Proportional to 156,745 and 204,193

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Solution

The third proportional to 156,745 and 204,193 is: 266,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,745 : 204,193 = 204,193 : x
  2. Step 2: Convert to fraction form
    156,745/204,193 = 204,193/x
  3. Step 3: Cross multiply
    156,745x = 204,193 × 204,193
  4. Step 4: Simplify right side
    156,745x = 41,694,781,249
  5. Step 5: Solve for x
    x = 41,694,781,249/156,745
  6. Step 6: Final answer
    x = 266,003.90

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Why These Related Problems?

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