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Finding the Third Proportional to 283.25 and 581.88

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Solution

The third proportional to 283.25 and 581.88 is: 1,195.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.25 : 581.88 = 581.88 : x
  2. Step 2: Convert to fraction form
    283.25/581.88 = 581.88/x
  3. Step 3: Cross multiply
    283.25x = 581.88 × 581.88
  4. Step 4: Simplify right side
    283.25x = 338,578.52
  5. Step 5: Solve for x
    x = 338,578.52/283.25
  6. Step 6: Final answer
    x = 1,195.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.