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Finding the Third Proportional to 150,550 and 220,170

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Solution

The third proportional to 150,550 and 220,170 is: 321,984.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,550 : 220,170 = 220,170 : x
  2. Step 2: Convert to fraction form
    150,550/220,170 = 220,170/x
  3. Step 3: Cross multiply
    150,550x = 220,170 × 220,170
  4. Step 4: Simplify right side
    150,550x = 48,474,828,900
  5. Step 5: Solve for x
    x = 48,474,828,900/150,550
  6. Step 6: Final answer
    x = 321,984.91

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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.