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Finding the Third Proportional to 148,758 and 327,000

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Solution

The third proportional to 148,758 and 327,000 is: 718,811.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,758 : 327,000 = 327,000 : x
  2. Step 2: Convert to fraction form
    148,758/327,000 = 327,000/x
  3. Step 3: Cross multiply
    148,758x = 327,000 × 327,000
  4. Step 4: Simplify right side
    148,758x = 106,929,000,000
  5. Step 5: Solve for x
    x = 106,929,000,000/148,758
  6. Step 6: Final answer
    x = 718,811.76

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.