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Finding the Third Proportional to 206,550 and 327,645

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Solution

The third proportional to 206,550 and 327,645 is: 519,734.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,550 : 327,645 = 327,645 : x
  2. Step 2: Convert to fraction form
    206,550/327,645 = 327,645/x
  3. Step 3: Cross multiply
    206,550x = 327,645 × 327,645
  4. Step 4: Simplify right side
    206,550x = 107,351,246,025
  5. Step 5: Solve for x
    x = 107,351,246,025/206,550
  6. Step 6: Final answer
    x = 519,734.91

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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.