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Finding the Third Proportional to 149,758.50 and 327,150

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Solution

The third proportional to 149,758.50 and 327,150 is: 714,664.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,758.50 : 327,150 = 327,150 : x
  2. Step 2: Convert to fraction form
    149,758.50/327,150 = 327,150/x
  3. Step 3: Cross multiply
    149,758.50x = 327,150 × 327,150
  4. Step 4: Simplify right side
    149,758.50x = 107,027,122,500
  5. Step 5: Solve for x
    x = 107,027,122,500/149,758.50
  6. Step 6: Final answer
    x = 714,664.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.