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Finding the Third Proportional to 118,257.75 and 177,504.75

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Solution

The third proportional to 118,257.75 and 177,504.75 is: 266,434.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,257.75 : 177,504.75 = 177,504.75 : x
  2. Step 2: Convert to fraction form
    118,257.75/177,504.75 = 177,504.75/x
  3. Step 3: Cross multiply
    118,257.75x = 177,504.75 × 177,504.75
  4. Step 4: Simplify right side
    118,257.75x = 31,507,936,272.56
  5. Step 5: Solve for x
    x = 31,507,936,272.56/118,257.75
  6. Step 6: Final answer
    x = 266,434.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.