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Finding the Third Proportional to 194,782 and 419,156

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Solution

The third proportional to 194,782 and 419,156 is: 901,991.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,782 : 419,156 = 419,156 : x
  2. Step 2: Convert to fraction form
    194,782/419,156 = 419,156/x
  3. Step 3: Cross multiply
    194,782x = 419,156 × 419,156
  4. Step 4: Simplify right side
    194,782x = 175,691,752,336
  5. Step 5: Solve for x
    x = 175,691,752,336/194,782
  6. Step 6: Final answer
    x = 901,991.73

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.