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Finding the Third Proportional to 149 and 222.13

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Solution

The third proportional to 149 and 222.13 is: 331.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149 : 222.13 = 222.13 : x
  2. Step 2: Convert to fraction form
    149/222.13 = 222.13/x
  3. Step 3: Cross multiply
    149x = 222.13 × 222.13
  4. Step 4: Simplify right side
    149x = 49,339.52
  5. Step 5: Solve for x
    x = 49,339.52/149
  6. Step 6: Final answer
    x = 331.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.