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Finding the Third Proportional to 206,099.72 and 327,850.59

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Solution

The third proportional to 206,099.72 and 327,850.59 is: 521,524.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,099.72 : 327,850.59 = 327,850.59 : x
  2. Step 2: Convert to fraction form
    206,099.72/327,850.59 = 327,850.59/x
  3. Step 3: Cross multiply
    206,099.72x = 327,850.59 × 327,850.59
  4. Step 4: Simplify right side
    206,099.72x = 107,486,011,822.23
  5. Step 5: Solve for x
    x = 107,486,011,822.23/206,099.72
  6. Step 6: Final answer
    x = 521,524.30

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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.