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Finding the Third Proportional to 185,716.97 and 248,761.13

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Solution

The third proportional to 185,716.97 and 248,761.13 is: 333,206.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,716.97 : 248,761.13 = 248,761.13 : x
  2. Step 2: Convert to fraction form
    185,716.97/248,761.13 = 248,761.13/x
  3. Step 3: Cross multiply
    185,716.97x = 248,761.13 × 248,761.13
  4. Step 4: Simplify right side
    185,716.97x = 61,882,097,311.27
  5. Step 5: Solve for x
    x = 61,882,097,311.27/185,716.97
  6. Step 6: Final answer
    x = 333,206.48

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.