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Finding the Third Proportional to 185,950 and 381,702

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Solution

The third proportional to 185,950 and 381,702 is: 783,524.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,950 : 381,702 = 381,702 : x
  2. Step 2: Convert to fraction form
    185,950/381,702 = 381,702/x
  3. Step 3: Cross multiply
    185,950x = 381,702 × 381,702
  4. Step 4: Simplify right side
    185,950x = 145,696,416,804
  5. Step 5: Solve for x
    x = 145,696,416,804/185,950
  6. Step 6: Final answer
    x = 783,524.69

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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.