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Finding the Third Proportional to 133.50 and 195.19

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Solution

The third proportional to 133.50 and 195.19 is: 285.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.50 : 195.19 = 195.19 : x
  2. Step 2: Convert to fraction form
    133.50/195.19 = 195.19/x
  3. Step 3: Cross multiply
    133.50x = 195.19 × 195.19
  4. Step 4: Simplify right side
    133.50x = 38,098.16
  5. Step 5: Solve for x
    x = 38,098.16/133.50
  6. Step 6: Final answer
    x = 285.38

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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.