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Finding the Third Proportional to 150,228 and 224,874

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Solution

The third proportional to 150,228 and 224,874 is: 336,610.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,228 : 224,874 = 224,874 : x
  2. Step 2: Convert to fraction form
    150,228/224,874 = 224,874/x
  3. Step 3: Cross multiply
    150,228x = 224,874 × 224,874
  4. Step 4: Simplify right side
    150,228x = 50,568,315,876
  5. Step 5: Solve for x
    x = 50,568,315,876/150,228
  6. Step 6: Final answer
    x = 336,610.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.