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Finding the Third Proportional to 191,952 and 396,198

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Solution

The third proportional to 191,952 and 396,198 is: 817,771.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,952 : 396,198 = 396,198 : x
  2. Step 2: Convert to fraction form
    191,952/396,198 = 396,198/x
  3. Step 3: Cross multiply
    191,952x = 396,198 × 396,198
  4. Step 4: Simplify right side
    191,952x = 156,972,855,204
  5. Step 5: Solve for x
    x = 156,972,855,204/191,952
  6. Step 6: Final answer
    x = 817,771.40

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.