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Finding the Third Proportional to 134.25 and 195.50

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Solution

The third proportional to 134.25 and 195.50 is: 284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.25 : 195.50 = 195.50 : x
  2. Step 2: Convert to fraction form
    134.25/195.50 = 195.50/x
  3. Step 3: Cross multiply
    134.25x = 195.50 × 195.50
  4. Step 4: Simplify right side
    134.25x = 38,220.25
  5. Step 5: Solve for x
    x = 38,220.25/134.25
  6. Step 6: Final answer
    x = 284.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.