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Finding the Third Proportional to 104,885 and 227,266

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Solution

The third proportional to 104,885 and 227,266 is: 492,442.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,885 : 227,266 = 227,266 : x
  2. Step 2: Convert to fraction form
    104,885/227,266 = 227,266/x
  3. Step 3: Cross multiply
    104,885x = 227,266 × 227,266
  4. Step 4: Simplify right side
    104,885x = 51,649,834,756
  5. Step 5: Solve for x
    x = 51,649,834,756/104,885
  6. Step 6: Final answer
    x = 492,442.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.