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Finding the Third Proportional to 199,866 and 425,626

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Solution

The third proportional to 199,866 and 425,626 is: 906,394.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,866 : 425,626 = 425,626 : x
  2. Step 2: Convert to fraction form
    199,866/425,626 = 425,626/x
  3. Step 3: Cross multiply
    199,866x = 425,626 × 425,626
  4. Step 4: Simplify right side
    199,866x = 181,157,491,876
  5. Step 5: Solve for x
    x = 181,157,491,876/199,866
  6. Step 6: Final answer
    x = 906,394.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.