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Finding the Third Proportional to 146.25 and 194.91

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Solution

The third proportional to 146.25 and 194.91 is: 259.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.25 : 194.91 = 194.91 : x
  2. Step 2: Convert to fraction form
    146.25/194.91 = 194.91/x
  3. Step 3: Cross multiply
    146.25x = 194.91 × 194.91
  4. Step 4: Simplify right side
    146.25x = 37,988.45
  5. Step 5: Solve for x
    x = 37,988.45/146.25
  6. Step 6: Final answer
    x = 259.75

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.