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Finding the Third Proportional to 225,917 and 301,188

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Solution

The third proportional to 225,917 and 301,188 is: 401,537.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,917 : 301,188 = 301,188 : x
  2. Step 2: Convert to fraction form
    225,917/301,188 = 301,188/x
  3. Step 3: Cross multiply
    225,917x = 301,188 × 301,188
  4. Step 4: Simplify right side
    225,917x = 90,714,211,344
  5. Step 5: Solve for x
    x = 90,714,211,344/225,917
  6. Step 6: Final answer
    x = 401,537.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.