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Finding the Third Proportional to 206,118 and 327,879

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Solution

The third proportional to 206,118 and 327,879 is: 521,568.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,118 : 327,879 = 327,879 : x
  2. Step 2: Convert to fraction form
    206,118/327,879 = 327,879/x
  3. Step 3: Cross multiply
    206,118x = 327,879 × 327,879
  4. Step 4: Simplify right side
    206,118x = 107,504,638,641
  5. Step 5: Solve for x
    x = 107,504,638,641/206,118
  6. Step 6: Final answer
    x = 521,568.42

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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.