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Finding the Third Proportional to 169,917.75 and 396,849.38

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Solution

The third proportional to 169,917.75 and 396,849.38 is: 926,856.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,917.75 : 396,849.38 = 396,849.38 : x
  2. Step 2: Convert to fraction form
    169,917.75/396,849.38 = 396,849.38/x
  3. Step 3: Cross multiply
    169,917.75x = 396,849.38 × 396,849.38
  4. Step 4: Simplify right side
    169,917.75x = 157,489,426,437.89
  5. Step 5: Solve for x
    x = 157,489,426,437.89/169,917.75
  6. Step 6: Final answer
    x = 926,856.83

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.