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Finding the Third Proportional to 194,375.25 and 418,272.75

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Solution

The third proportional to 194,375.25 and 418,272.75 is: 900,073.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,375.25 : 418,272.75 = 418,272.75 : x
  2. Step 2: Convert to fraction form
    194,375.25/418,272.75 = 418,272.75/x
  3. Step 3: Cross multiply
    194,375.25x = 418,272.75 × 418,272.75
  4. Step 4: Simplify right side
    194,375.25x = 174,952,093,392.56
  5. Step 5: Solve for x
    x = 174,952,093,392.56/194,375.25
  6. Step 6: Final answer
    x = 900,073.92

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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.