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Finding the Third Proportional to 100,228 and 150,630

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Solution

The third proportional to 100,228 and 150,630 is: 226,377.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,228 : 150,630 = 150,630 : x
  2. Step 2: Convert to fraction form
    100,228/150,630 = 150,630/x
  3. Step 3: Cross multiply
    100,228x = 150,630 × 150,630
  4. Step 4: Simplify right side
    100,228x = 22,689,396,900
  5. Step 5: Solve for x
    x = 22,689,396,900/100,228
  6. Step 6: Final answer
    x = 226,377.83

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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.