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Finding the Third Proportional to 181,826.25 and 396,698.25

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Solution

The third proportional to 181,826.25 and 396,698.25 is: 865,493.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,826.25 : 396,698.25 = 396,698.25 : x
  2. Step 2: Convert to fraction form
    181,826.25/396,698.25 = 396,698.25/x
  3. Step 3: Cross multiply
    181,826.25x = 396,698.25 × 396,698.25
  4. Step 4: Simplify right side
    181,826.25x = 157,369,501,553.06
  5. Step 5: Solve for x
    x = 157,369,501,553.06/181,826.25
  6. Step 6: Final answer
    x = 865,493.85

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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.