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Finding the Third Proportional to 78 and 167.88

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Solution

The third proportional to 78 and 167.88 is: 361.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78 : 167.88 = 167.88 : x
  2. Step 2: Convert to fraction form
    78/167.88 = 167.88/x
  3. Step 3: Cross multiply
    78x = 167.88 × 167.88
  4. Step 4: Simplify right side
    78x = 28,182.02
  5. Step 5: Solve for x
    x = 28,182.02/78
  6. Step 6: Final answer
    x = 361.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.