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Finding the Third Proportional to 193,272.75 and 278,367.75

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Solution

The third proportional to 193,272.75 and 278,367.75 is: 400,928.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,272.75 : 278,367.75 = 278,367.75 : x
  2. Step 2: Convert to fraction form
    193,272.75/278,367.75 = 278,367.75/x
  3. Step 3: Cross multiply
    193,272.75x = 278,367.75 × 278,367.75
  4. Step 4: Simplify right side
    193,272.75x = 77,488,604,240.06
  5. Step 5: Solve for x
    x = 77,488,604,240.06/193,272.75
  6. Step 6: Final answer
    x = 400,928.76

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.