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Finding the Third Proportional to 107,198 and 226,468

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Solution

The third proportional to 107,198 and 226,468 is: 478,439.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,198 : 226,468 = 226,468 : x
  2. Step 2: Convert to fraction form
    107,198/226,468 = 226,468/x
  3. Step 3: Cross multiply
    107,198x = 226,468 × 226,468
  4. Step 4: Simplify right side
    107,198x = 51,287,755,024
  5. Step 5: Solve for x
    x = 51,287,755,024/107,198
  6. Step 6: Final answer
    x = 478,439.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.