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Finding the Third Proportional to 206,104 and 327,859

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Solution

The third proportional to 206,104 and 327,859 is: 521,540.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,104 : 327,859 = 327,859 : x
  2. Step 2: Convert to fraction form
    206,104/327,859 = 327,859/x
  3. Step 3: Cross multiply
    206,104x = 327,859 × 327,859
  4. Step 4: Simplify right side
    206,104x = 107,491,523,881
  5. Step 5: Solve for x
    x = 107,491,523,881/206,104
  6. Step 6: Final answer
    x = 521,540.21

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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.