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Finding the Third Proportional to 232,778.25 and 371,919.38

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Solution

The third proportional to 232,778.25 and 371,919.38 is: 594,230.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,778.25 : 371,919.38 = 371,919.38 : x
  2. Step 2: Convert to fraction form
    232,778.25/371,919.38 = 371,919.38/x
  3. Step 3: Cross multiply
    232,778.25x = 371,919.38 × 371,919.38
  4. Step 4: Simplify right side
    232,778.25x = 138,324,021,500.39
  5. Step 5: Solve for x
    x = 138,324,021,500.39/232,778.25
  6. Step 6: Final answer
    x = 594,230.87

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.