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Finding the Third Proportional to 169,921.13 and 396,856.13

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Solution

The third proportional to 169,921.13 and 396,856.13 is: 926,869.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,921.13 : 396,856.13 = 396,856.13 : x
  2. Step 2: Convert to fraction form
    169,921.13/396,856.13 = 396,856.13/x
  3. Step 3: Cross multiply
    169,921.13x = 396,856.13 × 396,856.13
  4. Step 4: Simplify right side
    169,921.13x = 157,494,783,950.02
  5. Step 5: Solve for x
    x = 157,494,783,950.02/169,921.13
  6. Step 6: Final answer
    x = 926,869.95

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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.