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Finding the Third Proportional to 181,833.75 and 396,708.75

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Solution

The third proportional to 181,833.75 and 396,708.75 is: 865,503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,833.75 : 396,708.75 = 396,708.75 : x
  2. Step 2: Convert to fraction form
    181,833.75/396,708.75 = 396,708.75/x
  3. Step 3: Cross multiply
    181,833.75x = 396,708.75 × 396,708.75
  4. Step 4: Simplify right side
    181,833.75x = 157,377,832,326.56
  5. Step 5: Solve for x
    x = 157,377,832,326.56/181,833.75
  6. Step 6: Final answer
    x = 865,503.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.