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Finding the Third Proportional to 155,940 and 232,872

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Solution

The third proportional to 155,940 and 232,872 is: 347,757.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,940 : 232,872 = 232,872 : x
  2. Step 2: Convert to fraction form
    155,940/232,872 = 232,872/x
  3. Step 3: Cross multiply
    155,940x = 232,872 × 232,872
  4. Step 4: Simplify right side
    155,940x = 54,229,368,384
  5. Step 5: Solve for x
    x = 54,229,368,384/155,940
  6. Step 6: Final answer
    x = 347,757.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.