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Finding the Third Proportional to 177.50 and 225.50

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Solution

The third proportional to 177.50 and 225.50 is: 286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.50 : 225.50 = 225.50 : x
  2. Step 2: Convert to fraction form
    177.50/225.50 = 225.50/x
  3. Step 3: Cross multiply
    177.50x = 225.50 × 225.50
  4. Step 4: Simplify right side
    177.50x = 50,850.25
  5. Step 5: Solve for x
    x = 50,850.25/177.50
  6. Step 6: Final answer
    x = 286.48

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.