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Finding the Third Proportional to 118,244.25 and 178,593.75

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Solution

The third proportional to 118,244.25 and 178,593.75 is: 269,744.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,244.25 : 178,593.75 = 178,593.75 : x
  2. Step 2: Convert to fraction form
    118,244.25/178,593.75 = 178,593.75/x
  3. Step 3: Cross multiply
    118,244.25x = 178,593.75 × 178,593.75
  4. Step 4: Simplify right side
    118,244.25x = 31,895,727,539.06
  5. Step 5: Solve for x
    x = 31,895,727,539.06/118,244.25
  6. Step 6: Final answer
    x = 269,744.43

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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.