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Finding the Third Proportional to 120,022 and 261,204

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Solution

The third proportional to 120,022 and 261,204 is: 568,458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,022 : 261,204 = 261,204 : x
  2. Step 2: Convert to fraction form
    120,022/261,204 = 261,204/x
  3. Step 3: Cross multiply
    120,022x = 261,204 × 261,204
  4. Step 4: Simplify right side
    120,022x = 68,227,529,616
  5. Step 5: Solve for x
    x = 68,227,529,616/120,022
  6. Step 6: Final answer
    x = 568,458.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.