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Finding the Third Proportional to 194,696 and 396,448

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Solution

The third proportional to 194,696 and 396,448 is: 807,263.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,696 : 396,448 = 396,448 : x
  2. Step 2: Convert to fraction form
    194,696/396,448 = 396,448/x
  3. Step 3: Cross multiply
    194,696x = 396,448 × 396,448
  4. Step 4: Simplify right side
    194,696x = 157,171,016,704
  5. Step 5: Solve for x
    x = 157,171,016,704/194,696
  6. Step 6: Final answer
    x = 807,263.72

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.