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Finding the Third Proportional to 194,976 and 396,864

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Solution

The third proportional to 194,976 and 396,864 is: 807,797.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,976 : 396,864 = 396,864 : x
  2. Step 2: Convert to fraction form
    194,976/396,864 = 396,864/x
  3. Step 3: Cross multiply
    194,976x = 396,864 × 396,864
  4. Step 4: Simplify right side
    194,976x = 157,501,034,496
  5. Step 5: Solve for x
    x = 157,501,034,496/194,976
  6. Step 6: Final answer
    x = 807,797.03

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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.