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Finding the Third Proportional to 149,721.75 and 324,624.38

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Solution

The third proportional to 149,721.75 and 324,624.38 is: 703,845.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,721.75 : 324,624.38 = 324,624.38 : x
  2. Step 2: Convert to fraction form
    149,721.75/324,624.38 = 324,624.38/x
  3. Step 3: Cross multiply
    149,721.75x = 324,624.38 × 324,624.38
  4. Step 4: Simplify right side
    149,721.75x = 105,380,984,844.14
  5. Step 5: Solve for x
    x = 105,380,984,844.14/149,721.75
  6. Step 6: Final answer
    x = 703,845.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.