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Finding the Third Proportional to 199,872 and 425,638

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Solution

The third proportional to 199,872 and 425,638 is: 906,418.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,872 : 425,638 = 425,638 : x
  2. Step 2: Convert to fraction form
    199,872/425,638 = 425,638/x
  3. Step 3: Cross multiply
    199,872x = 425,638 × 425,638
  4. Step 4: Simplify right side
    199,872x = 181,167,707,044
  5. Step 5: Solve for x
    x = 181,167,707,044/199,872
  6. Step 6: Final answer
    x = 906,418.64

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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.