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Finding the Third Proportional to 199,797 and 425,022

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Solution

The third proportional to 199,797 and 425,022 is: 904,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,797 : 425,022 = 425,022 : x
  2. Step 2: Convert to fraction form
    199,797/425,022 = 425,022/x
  3. Step 3: Cross multiply
    199,797x = 425,022 × 425,022
  4. Step 4: Simplify right side
    199,797x = 180,643,700,484
  5. Step 5: Solve for x
    x = 180,643,700,484/199,797
  6. Step 6: Final answer
    x = 904,136.20

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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.