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Finding the Third Proportional to 133 and 212.38

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Solution

The third proportional to 133 and 212.38 is: 339.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133 : 212.38 = 212.38 : x
  2. Step 2: Convert to fraction form
    133/212.38 = 212.38/x
  3. Step 3: Cross multiply
    133x = 212.38 × 212.38
  4. Step 4: Simplify right side
    133x = 45,103.14
  5. Step 5: Solve for x
    x = 45,103.14/133
  6. Step 6: Final answer
    x = 339.12

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.