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Finding the Third Proportional to 167.63 and 251.53

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Solution

The third proportional to 167.63 and 251.53 is: 377.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.63 : 251.53 = 251.53 : x
  2. Step 2: Convert to fraction form
    167.63/251.53 = 251.53/x
  3. Step 3: Cross multiply
    167.63x = 251.53 × 251.53
  4. Step 4: Simplify right side
    167.63x = 63,267.97
  5. Step 5: Solve for x
    x = 63,267.97/167.63
  6. Step 6: Final answer
    x = 377.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.