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Finding the Third Proportional to 208,311.75 and 296,794.13

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Solution

The third proportional to 208,311.75 and 296,794.13 is: 422,860.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,311.75 : 296,794.13 = 296,794.13 : x
  2. Step 2: Convert to fraction form
    208,311.75/296,794.13 = 296,794.13/x
  3. Step 3: Cross multiply
    208,311.75x = 296,794.13 × 296,794.13
  4. Step 4: Simplify right side
    208,311.75x = 88,086,752,634.52
  5. Step 5: Solve for x
    x = 88,086,752,634.52/208,311.75
  6. Step 6: Final answer
    x = 422,860.22

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.