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Finding the Third Proportional to 148,764 and 327,012

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Solution

The third proportional to 148,764 and 327,012 is: 718,835.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,764 : 327,012 = 327,012 : x
  2. Step 2: Convert to fraction form
    148,764/327,012 = 327,012/x
  3. Step 3: Cross multiply
    148,764x = 327,012 × 327,012
  4. Step 4: Simplify right side
    148,764x = 106,936,848,144
  5. Step 5: Solve for x
    x = 106,936,848,144/148,764
  6. Step 6: Final answer
    x = 718,835.53

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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.