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Finding the Third Proportional to 177.75 and 481.50

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Solution

The third proportional to 177.75 and 481.50 is: 1,304.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.75 : 481.50 = 481.50 : x
  2. Step 2: Convert to fraction form
    177.75/481.50 = 481.50/x
  3. Step 3: Cross multiply
    177.75x = 481.50 × 481.50
  4. Step 4: Simplify right side
    177.75x = 231,842.25
  5. Step 5: Solve for x
    x = 231,842.25/177.75
  6. Step 6: Final answer
    x = 1,304.32

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.