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Finding the Third Proportional to 206,102.25 and 327,855.38

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Solution

The third proportional to 206,102.25 and 327,855.38 is: 521,533.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,102.25 : 327,855.38 = 327,855.38 : x
  2. Step 2: Convert to fraction form
    206,102.25/327,855.38 = 327,855.38/x
  3. Step 3: Cross multiply
    206,102.25x = 327,855.38 × 327,855.38
  4. Step 4: Simplify right side
    206,102.25x = 107,489,146,916.39
  5. Step 5: Solve for x
    x = 107,489,146,916.39/206,102.25
  6. Step 6: Final answer
    x = 521,533.11

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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.