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Finding the Third Proportional to 146,540 and 220,198

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Solution

The third proportional to 146,540 and 220,198 is: 330,880.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,540 : 220,198 = 220,198 : x
  2. Step 2: Convert to fraction form
    146,540/220,198 = 220,198/x
  3. Step 3: Cross multiply
    146,540x = 220,198 × 220,198
  4. Step 4: Simplify right side
    146,540x = 48,487,159,204
  5. Step 5: Solve for x
    x = 48,487,159,204/146,540
  6. Step 6: Final answer
    x = 330,880.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.