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Finding the Third Proportional to 150,544 and 220,163

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Solution

The third proportional to 150,544 and 220,163 is: 321,977.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,544 : 220,163 = 220,163 : x
  2. Step 2: Convert to fraction form
    150,544/220,163 = 220,163/x
  3. Step 3: Cross multiply
    150,544x = 220,163 × 220,163
  4. Step 4: Simplify right side
    150,544x = 48,471,746,569
  5. Step 5: Solve for x
    x = 48,471,746,569/150,544
  6. Step 6: Final answer
    x = 321,977.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.