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Finding the Third Proportional to 177.38 and 461.44

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Solution

The third proportional to 177.38 and 461.44 is: 1,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.38 : 461.44 = 461.44 : x
  2. Step 2: Convert to fraction form
    177.38/461.44 = 461.44/x
  3. Step 3: Cross multiply
    177.38x = 461.44 × 461.44
  4. Step 4: Simplify right side
    177.38x = 212,924.57
  5. Step 5: Solve for x
    x = 212,924.57/177.38
  6. Step 6: Final answer
    x = 1,200.42

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.