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Finding the Third Proportional to 114.66 and 194.77

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Solution

The third proportional to 114.66 and 194.77 is: 330.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.66 : 194.77 = 194.77 : x
  2. Step 2: Convert to fraction form
    114.66/194.77 = 194.77/x
  3. Step 3: Cross multiply
    114.66x = 194.77 × 194.77
  4. Step 4: Simplify right side
    114.66x = 37,933.65
  5. Step 5: Solve for x
    x = 37,933.65/114.66
  6. Step 6: Final answer
    x = 330.85

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.