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Finding the Third Proportional to 281.25 and 339

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Solution

The third proportional to 281.25 and 339 is: 408.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.25 : 339 = 339 : x
  2. Step 2: Convert to fraction form
    281.25/339 = 339/x
  3. Step 3: Cross multiply
    281.25x = 339 × 339
  4. Step 4: Simplify right side
    281.25x = 114,921
  5. Step 5: Solve for x
    x = 114,921/281.25
  6. Step 6: Final answer
    x = 408.61

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.