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Finding the Third Proportional to 149,717 and 220,198

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Solution

The third proportional to 149,717 and 220,198 is: 323,858.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,717 : 220,198 = 220,198 : x
  2. Step 2: Convert to fraction form
    149,717/220,198 = 220,198/x
  3. Step 3: Cross multiply
    149,717x = 220,198 × 220,198
  4. Step 4: Simplify right side
    149,717x = 48,487,159,204
  5. Step 5: Solve for x
    x = 48,487,159,204/149,717
  6. Step 6: Final answer
    x = 323,858.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.