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Finding the Third Proportional to 120,857 and 259,204

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Solution

The third proportional to 120,857 and 259,204 is: 555,919.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,857 : 259,204 = 259,204 : x
  2. Step 2: Convert to fraction form
    120,857/259,204 = 259,204/x
  3. Step 3: Cross multiply
    120,857x = 259,204 × 259,204
  4. Step 4: Simplify right side
    120,857x = 67,186,713,616
  5. Step 5: Solve for x
    x = 67,186,713,616/120,857
  6. Step 6: Final answer
    x = 555,919.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.