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Finding the Third Proportional to 77.41 and 167.48

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Solution

The third proportional to 77.41 and 167.48 is: 362.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.41 : 167.48 = 167.48 : x
  2. Step 2: Convert to fraction form
    77.41/167.48 = 167.48/x
  3. Step 3: Cross multiply
    77.41x = 167.48 × 167.48
  4. Step 4: Simplify right side
    77.41x = 28,051.02
  5. Step 5: Solve for x
    x = 28,051.02/77.41
  6. Step 6: Final answer
    x = 362.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.