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Finding the Third Proportional to 281.75 and 611.88

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Solution

The third proportional to 281.75 and 611.88 is: 1,328.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.75 : 611.88 = 611.88 : x
  2. Step 2: Convert to fraction form
    281.75/611.88 = 611.88/x
  3. Step 3: Cross multiply
    281.75x = 611.88 × 611.88
  4. Step 4: Simplify right side
    281.75x = 374,391.02
  5. Step 5: Solve for x
    x = 374,391.02/281.75
  6. Step 6: Final answer
    x = 1,328.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.