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Finding the Third Proportional to 185,949 and 381,699

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Solution

The third proportional to 185,949 and 381,699 is: 783,516.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,949 : 381,699 = 381,699 : x
  2. Step 2: Convert to fraction form
    185,949/381,699 = 381,699/x
  3. Step 3: Cross multiply
    185,949x = 381,699 × 381,699
  4. Step 4: Simplify right side
    185,949x = 145,694,126,601
  5. Step 5: Solve for x
    x = 145,694,126,601/185,949
  6. Step 6: Final answer
    x = 783,516.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.