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Finding the Third Proportional to 187,655 and 382,949

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Solution

The third proportional to 187,655 and 382,949 is: 781,486.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,655 : 382,949 = 382,949 : x
  2. Step 2: Convert to fraction form
    187,655/382,949 = 382,949/x
  3. Step 3: Cross multiply
    187,655x = 382,949 × 382,949
  4. Step 4: Simplify right side
    187,655x = 146,649,936,601
  5. Step 5: Solve for x
    x = 146,649,936,601/187,655
  6. Step 6: Final answer
    x = 781,486.97

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.