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Finding the Third Proportional to 199,796 and 425,020

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Solution

The third proportional to 199,796 and 425,020 is: 904,132.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,796 : 425,020 = 425,020 : x
  2. Step 2: Convert to fraction form
    199,796/425,020 = 425,020/x
  3. Step 3: Cross multiply
    199,796x = 425,020 × 425,020
  4. Step 4: Simplify right side
    199,796x = 180,642,000,400
  5. Step 5: Solve for x
    x = 180,642,000,400/199,796
  6. Step 6: Final answer
    x = 904,132.22

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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.