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Finding the Third Proportional to 149.03 and 222.70

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Solution

The third proportional to 149.03 and 222.70 is: 332.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.03 : 222.70 = 222.70 : x
  2. Step 2: Convert to fraction form
    149.03/222.70 = 222.70/x
  3. Step 3: Cross multiply
    149.03x = 222.70 × 222.70
  4. Step 4: Simplify right side
    149.03x = 49,596.68
  5. Step 5: Solve for x
    x = 49,596.68/149.03
  6. Step 6: Final answer
    x = 332.79

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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.