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Finding the Third Proportional to 182,003.20 and 275,550.61

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Solution

The third proportional to 182,003.20 and 275,550.61 is: 417,180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,003.20 : 275,550.61 = 275,550.61 : x
  2. Step 2: Convert to fraction form
    182,003.20/275,550.61 = 275,550.61/x
  3. Step 3: Cross multiply
    182,003.20x = 275,550.61 × 275,550.61
  4. Step 4: Simplify right side
    182,003.20x = 75,928,138,326.93
  5. Step 5: Solve for x
    x = 75,928,138,326.93/182,003.20
  6. Step 6: Final answer
    x = 417,180.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.