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Finding the Third Proportional to 193,232.25 and 295,593.75

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Solution

The third proportional to 193,232.25 and 295,593.75 is: 452,179.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,232.25 : 295,593.75 = 295,593.75 : x
  2. Step 2: Convert to fraction form
    193,232.25/295,593.75 = 295,593.75/x
  3. Step 3: Cross multiply
    193,232.25x = 295,593.75 × 295,593.75
  4. Step 4: Simplify right side
    193,232.25x = 87,375,665,039.06
  5. Step 5: Solve for x
    x = 87,375,665,039.06/193,232.25
  6. Step 6: Final answer
    x = 452,179.51

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.