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Finding the Third Proportional to 182,761.31 and 282,439.41

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Solution

The third proportional to 182,761.31 and 282,439.41 is: 436,481.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,761.31 : 282,439.41 = 282,439.41 : x
  2. Step 2: Convert to fraction form
    182,761.31/282,439.41 = 282,439.41/x
  3. Step 3: Cross multiply
    182,761.31x = 282,439.41 × 282,439.41
  4. Step 4: Simplify right side
    182,761.31x = 79,772,018,202.85
  5. Step 5: Solve for x
    x = 79,772,018,202.85/182,761.31
  6. Step 6: Final answer
    x = 436,481.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.