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Finding the Third Proportional to 206,487.56 and 424,094.06

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Solution

The third proportional to 206,487.56 and 424,094.06 is: 871,024.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,487.56 : 424,094.06 = 424,094.06 : x
  2. Step 2: Convert to fraction form
    206,487.56/424,094.06 = 424,094.06/x
  3. Step 3: Cross multiply
    206,487.56x = 424,094.06 × 424,094.06
  4. Step 4: Simplify right side
    206,487.56x = 179,855,773,847.75
  5. Step 5: Solve for x
    x = 179,855,773,847.75/206,487.56
  6. Step 6: Final answer
    x = 871,024.73

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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.