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Finding the Third Proportional to 175,844.25 and 378,330.75

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Solution

The third proportional to 175,844.25 and 378,330.75 is: 813,982.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,844.25 : 378,330.75 = 378,330.75 : x
  2. Step 2: Convert to fraction form
    175,844.25/378,330.75 = 378,330.75/x
  3. Step 3: Cross multiply
    175,844.25x = 378,330.75 × 378,330.75
  4. Step 4: Simplify right side
    175,844.25x = 143,134,156,395.56
  5. Step 5: Solve for x
    x = 143,134,156,395.56/175,844.25
  6. Step 6: Final answer
    x = 813,982.58

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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.