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Finding the Third Proportional to 148,450.50 and 223,944.75

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Solution

The third proportional to 148,450.50 and 223,944.75 is: 337,831.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,450.50 : 223,944.75 = 223,944.75 : x
  2. Step 2: Convert to fraction form
    148,450.50/223,944.75 = 223,944.75/x
  3. Step 3: Cross multiply
    148,450.50x = 223,944.75 × 223,944.75
  4. Step 4: Simplify right side
    148,450.50x = 50,151,251,052.56
  5. Step 5: Solve for x
    x = 50,151,251,052.56/148,450.50
  6. Step 6: Final answer
    x = 337,831.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.