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Finding the Third Proportional to 194,034 and 273,876

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Solution

The third proportional to 194,034 and 273,876 is: 386,571.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,034 : 273,876 = 273,876 : x
  2. Step 2: Convert to fraction form
    194,034/273,876 = 273,876/x
  3. Step 3: Cross multiply
    194,034x = 273,876 × 273,876
  4. Step 4: Simplify right side
    194,034x = 75,008,063,376
  5. Step 5: Solve for x
    x = 75,008,063,376/194,034
  6. Step 6: Final answer
    x = 386,571.75

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.