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Finding the Third Proportional to 150,576 and 220,198

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Solution

The third proportional to 150,576 and 220,198 is: 322,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,576 : 220,198 = 220,198 : x
  2. Step 2: Convert to fraction form
    150,576/220,198 = 220,198/x
  3. Step 3: Cross multiply
    150,576x = 220,198 × 220,198
  4. Step 4: Simplify right side
    150,576x = 48,487,159,204
  5. Step 5: Solve for x
    x = 48,487,159,204/150,576
  6. Step 6: Final answer
    x = 322,011.20

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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.