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Finding the Third Proportional to 167.75 and 274.19

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Solution

The third proportional to 167.75 and 274.19 is: 448.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.75 : 274.19 = 274.19 : x
  2. Step 2: Convert to fraction form
    167.75/274.19 = 274.19/x
  3. Step 3: Cross multiply
    167.75x = 274.19 × 274.19
  4. Step 4: Simplify right side
    167.75x = 75,178.79
  5. Step 5: Solve for x
    x = 75,178.79/167.75
  6. Step 6: Final answer
    x = 448.16

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.