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Finding the Third Proportional to 232,229.25 and 369,486

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Solution

The third proportional to 232,229.25 and 369,486 is: 587,866.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,229.25 : 369,486 = 369,486 : x
  2. Step 2: Convert to fraction form
    232,229.25/369,486 = 369,486/x
  3. Step 3: Cross multiply
    232,229.25x = 369,486 × 369,486
  4. Step 4: Simplify right side
    232,229.25x = 136,519,904,196
  5. Step 5: Solve for x
    x = 136,519,904,196/232,229.25
  6. Step 6: Final answer
    x = 587,866.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.