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Finding the Third Proportional to 115,611.75 and 252,232.31

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Solution

The third proportional to 115,611.75 and 252,232.31 is: 550,299.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,611.75 : 252,232.31 = 252,232.31 : x
  2. Step 2: Convert to fraction form
    115,611.75/252,232.31 = 252,232.31/x
  3. Step 3: Cross multiply
    115,611.75x = 252,232.31 × 252,232.31
  4. Step 4: Simplify right side
    115,611.75x = 63,621,139,469.10
  5. Step 5: Solve for x
    x = 63,621,139,469.10/115,611.75
  6. Step 6: Final answer
    x = 550,299.94

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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.