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Finding the Third Proportional to 338.25 and 800.94

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Solution

The third proportional to 338.25 and 800.94 is: 1,896.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.25 : 800.94 = 800.94 : x
  2. Step 2: Convert to fraction form
    338.25/800.94 = 800.94/x
  3. Step 3: Cross multiply
    338.25x = 800.94 × 800.94
  4. Step 4: Simplify right side
    338.25x = 641,500.88
  5. Step 5: Solve for x
    x = 641,500.88/338.25
  6. Step 6: Final answer
    x = 1,896.53

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.