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Finding the Third Proportional to 202,977 and 283,773.88

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Solution

The third proportional to 202,977 and 283,773.88 is: 396,732.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,977 : 283,773.88 = 283,773.88 : x
  2. Step 2: Convert to fraction form
    202,977/283,773.88 = 283,773.88/x
  3. Step 3: Cross multiply
    202,977x = 283,773.88 × 283,773.88
  4. Step 4: Simplify right side
    202,977x = 80,527,612,132.52
  5. Step 5: Solve for x
    x = 80,527,612,132.52/202,977
  6. Step 6: Final answer
    x = 396,732.69

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.