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Finding the Third Proportional to 206,499.38 and 424,114.88

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Solution

The third proportional to 206,499.38 and 424,114.88 is: 871,060.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,499.38 : 424,114.88 = 424,114.88 : x
  2. Step 2: Convert to fraction form
    206,499.38/424,114.88 = 424,114.88/x
  3. Step 3: Cross multiply
    206,499.38x = 424,114.88 × 424,114.88
  4. Step 4: Simplify right side
    206,499.38x = 179,873,427,196.27
  5. Step 5: Solve for x
    x = 179,873,427,196.27/206,499.38
  6. Step 6: Final answer
    x = 871,060.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.