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Finding the Third Proportional to 185,960 and 381,721

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Solution

The third proportional to 185,960 and 381,721 is: 783,560.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,960 : 381,721 = 381,721 : x
  2. Step 2: Convert to fraction form
    185,960/381,721 = 381,721/x
  3. Step 3: Cross multiply
    185,960x = 381,721 × 381,721
  4. Step 4: Simplify right side
    185,960x = 145,710,921,841
  5. Step 5: Solve for x
    x = 145,710,921,841/185,960
  6. Step 6: Final answer
    x = 783,560.56

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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.