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Finding the Third Proportional to 206,112 and 327,870

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Solution

The third proportional to 206,112 and 327,870 is: 521,554.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,112 : 327,870 = 327,870 : x
  2. Step 2: Convert to fraction form
    206,112/327,870 = 327,870/x
  3. Step 3: Cross multiply
    206,112x = 327,870 × 327,870
  4. Step 4: Simplify right side
    206,112x = 107,498,736,900
  5. Step 5: Solve for x
    x = 107,498,736,900/206,112
  6. Step 6: Final answer
    x = 521,554.96

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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.