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Finding the Third Proportional to 185,931 and 381,750

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Solution

The third proportional to 185,931 and 381,750 is: 783,801.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,931 : 381,750 = 381,750 : x
  2. Step 2: Convert to fraction form
    185,931/381,750 = 381,750/x
  3. Step 3: Cross multiply
    185,931x = 381,750 × 381,750
  4. Step 4: Simplify right side
    185,931x = 145,733,062,500
  5. Step 5: Solve for x
    x = 145,733,062,500/185,931
  6. Step 6: Final answer
    x = 783,801.85

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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.