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Finding the Third Proportional to 150,573 and 220,200

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Solution

The third proportional to 150,573 and 220,200 is: 322,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,573 : 220,200 = 220,200 : x
  2. Step 2: Convert to fraction form
    150,573/220,200 = 220,200/x
  3. Step 3: Cross multiply
    150,573x = 220,200 × 220,200
  4. Step 4: Simplify right side
    150,573x = 48,488,040,000
  5. Step 5: Solve for x
    x = 48,488,040,000/150,573
  6. Step 6: Final answer
    x = 322,023.47

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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.