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Finding the Third Proportional to 146,450 and 198,939

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Solution

The third proportional to 146,450 and 198,939 is: 270,240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,450 : 198,939 = 198,939 : x
  2. Step 2: Convert to fraction form
    146,450/198,939 = 198,939/x
  3. Step 3: Cross multiply
    146,450x = 198,939 × 198,939
  4. Step 4: Simplify right side
    146,450x = 39,576,725,721
  5. Step 5: Solve for x
    x = 39,576,725,721/146,450
  6. Step 6: Final answer
    x = 270,240.53

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.