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Finding the Third Proportional to 75.80 and 167.91

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Solution

The third proportional to 75.80 and 167.91 is: 371.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.80 : 167.91 = 167.91 : x
  2. Step 2: Convert to fraction form
    75.80/167.91 = 167.91/x
  3. Step 3: Cross multiply
    75.80x = 167.91 × 167.91
  4. Step 4: Simplify right side
    75.80x = 28,192.51
  5. Step 5: Solve for x
    x = 28,192.51/75.80
  6. Step 6: Final answer
    x = 371.95

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.