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Finding the Third Proportional to 214,571.53 and 324,619.31

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Solution

The third proportional to 214,571.53 and 324,619.31 is: 491,107.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,571.53 : 324,619.31 = 324,619.31 : x
  2. Step 2: Convert to fraction form
    214,571.53/324,619.31 = 324,619.31/x
  3. Step 3: Cross multiply
    214,571.53x = 324,619.31 × 324,619.31
  4. Step 4: Simplify right side
    214,571.53x = 105,377,698,047.97
  5. Step 5: Solve for x
    x = 105,377,698,047.97/214,571.53
  6. Step 6: Final answer
    x = 491,107.55

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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.