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Finding the Third Proportional to 202,350 and 291,474

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Solution

The third proportional to 202,350 and 291,474 is: 419,852.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,350 : 291,474 = 291,474 : x
  2. Step 2: Convert to fraction form
    202,350/291,474 = 291,474/x
  3. Step 3: Cross multiply
    202,350x = 291,474 × 291,474
  4. Step 4: Simplify right side
    202,350x = 84,957,092,676
  5. Step 5: Solve for x
    x = 84,957,092,676/202,350
  6. Step 6: Final answer
    x = 419,852.20

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.