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Finding the Third Proportional to 206,502.75 and 424,119.38

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Solution

The third proportional to 206,502.75 and 424,119.38 is: 871,064.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,502.75 : 424,119.38 = 424,119.38 : x
  2. Step 2: Convert to fraction form
    206,502.75/424,119.38 = 424,119.38/x
  3. Step 3: Cross multiply
    206,502.75x = 424,119.38 × 424,119.38
  4. Step 4: Simplify right side
    206,502.75x = 179,877,244,250.39
  5. Step 5: Solve for x
    x = 179,877,244,250.39/206,502.75
  6. Step 6: Final answer
    x = 871,064.64

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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.