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Finding the Third Proportional to 179.93 and 191.95

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Solution

The third proportional to 179.93 and 191.95 is: 204.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.93 : 191.95 = 191.95 : x
  2. Step 2: Convert to fraction form
    179.93/191.95 = 191.95/x
  3. Step 3: Cross multiply
    179.93x = 191.95 × 191.95
  4. Step 4: Simplify right side
    179.93x = 36,846.00
  5. Step 5: Solve for x
    x = 36,846.00/179.93
  6. Step 6: Final answer
    x = 204.78

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.