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Finding the Third Proportional to 148,520.25 and 197,974.13

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Solution

The third proportional to 148,520.25 and 197,974.13 is: 263,895.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,520.25 : 197,974.13 = 197,974.13 : x
  2. Step 2: Convert to fraction form
    148,520.25/197,974.13 = 197,974.13/x
  3. Step 3: Cross multiply
    148,520.25x = 197,974.13 × 197,974.13
  4. Step 4: Simplify right side
    148,520.25x = 39,193,754,169.52
  5. Step 5: Solve for x
    x = 39,193,754,169.52/148,520.25
  6. Step 6: Final answer
    x = 263,895.02

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.