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Finding the Third Proportional to 199,794 and 425,016

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Solution

The third proportional to 199,794 and 425,016 is: 904,124.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,794 : 425,016 = 425,016 : x
  2. Step 2: Convert to fraction form
    199,794/425,016 = 425,016/x
  3. Step 3: Cross multiply
    199,794x = 425,016 × 425,016
  4. Step 4: Simplify right side
    199,794x = 180,638,600,256
  5. Step 5: Solve for x
    x = 180,638,600,256/199,794
  6. Step 6: Final answer
    x = 904,124.25

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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.