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Finding the Third Proportional to 150,542 and 220,161

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Solution

The third proportional to 150,542 and 220,161 is: 321,975.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,542 : 220,161 = 220,161 : x
  2. Step 2: Convert to fraction form
    150,542/220,161 = 220,161/x
  3. Step 3: Cross multiply
    150,542x = 220,161 × 220,161
  4. Step 4: Simplify right side
    150,542x = 48,470,865,921
  5. Step 5: Solve for x
    x = 48,470,865,921/150,542
  6. Step 6: Final answer
    x = 321,975.70

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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.