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Finding the Third Proportional to 206,108 and 327,863

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Solution

The third proportional to 206,108 and 327,863 is: 521,542.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,108 : 327,863 = 327,863 : x
  2. Step 2: Convert to fraction form
    206,108/327,863 = 327,863/x
  3. Step 3: Cross multiply
    206,108x = 327,863 × 327,863
  4. Step 4: Simplify right side
    206,108x = 107,494,146,769
  5. Step 5: Solve for x
    x = 107,494,146,769/206,108
  6. Step 6: Final answer
    x = 521,542.82

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