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Finding the Third Proportional to 169,916 and 396,846

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Solution

The third proportional to 169,916 and 396,846 is: 926,850.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,916 : 396,846 = 396,846 : x
  2. Step 2: Convert to fraction form
    169,916/396,846 = 396,846/x
  3. Step 3: Cross multiply
    169,916x = 396,846 × 396,846
  4. Step 4: Simplify right side
    169,916x = 157,486,747,716
  5. Step 5: Solve for x
    x = 157,486,747,716/169,916
  6. Step 6: Final answer
    x = 926,850.61

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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.