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Finding the Third Proportional to 177.25 and 281.88

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Solution

The third proportional to 177.25 and 281.88 is: 448.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.25 : 281.88 = 281.88 : x
  2. Step 2: Convert to fraction form
    177.25/281.88 = 281.88/x
  3. Step 3: Cross multiply
    177.25x = 281.88 × 281.88
  4. Step 4: Simplify right side
    177.25x = 79,453.52
  5. Step 5: Solve for x
    x = 79,453.52/177.25
  6. Step 6: Final answer
    x = 448.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.