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Finding the Third Proportional to 175,775.06 and 378,249.75

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Solution

The third proportional to 175,775.06 and 378,249.75 is: 813,954.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,775.06 : 378,249.75 = 378,249.75 : x
  2. Step 2: Convert to fraction form
    175,775.06/378,249.75 = 378,249.75/x
  3. Step 3: Cross multiply
    175,775.06x = 378,249.75 × 378,249.75
  4. Step 4: Simplify right side
    175,775.06x = 143,072,873,375.06
  5. Step 5: Solve for x
    x = 143,072,873,375.06/175,775.06
  6. Step 6: Final answer
    x = 813,954.33

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.