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Finding the Third Proportional to 148,601.25 and 225,740.25

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Solution

The third proportional to 148,601.25 and 225,740.25 is: 342,922.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,601.25 : 225,740.25 = 225,740.25 : x
  2. Step 2: Convert to fraction form
    148,601.25/225,740.25 = 225,740.25/x
  3. Step 3: Cross multiply
    148,601.25x = 225,740.25 × 225,740.25
  4. Step 4: Simplify right side
    148,601.25x = 50,958,660,470.06
  5. Step 5: Solve for x
    x = 50,958,660,470.06/148,601.25
  6. Step 6: Final answer
    x = 342,922.15

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.