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Finding the Third Proportional to 206,110 and 327,867

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Solution

The third proportional to 206,110 and 327,867 is: 521,550.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,110 : 327,867 = 327,867 : x
  2. Step 2: Convert to fraction form
    206,110/327,867 = 327,867/x
  3. Step 3: Cross multiply
    206,110x = 327,867 × 327,867
  4. Step 4: Simplify right side
    206,110x = 107,496,769,689
  5. Step 5: Solve for x
    x = 107,496,769,689/206,110
  6. Step 6: Final answer
    x = 521,550.48

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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.