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Finding the Third Proportional to 206,105.50 and 327,849

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Solution

The third proportional to 206,105.50 and 327,849 is: 521,504.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,105.50 : 327,849 = 327,849 : x
  2. Step 2: Convert to fraction form
    206,105.50/327,849 = 327,849/x
  3. Step 3: Cross multiply
    206,105.50x = 327,849 × 327,849
  4. Step 4: Simplify right side
    206,105.50x = 107,484,966,801
  5. Step 5: Solve for x
    x = 107,484,966,801/206,105.50
  6. Step 6: Final answer
    x = 521,504.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.