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Finding the Third Proportional to 149 and 222.63

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Solution

The third proportional to 149 and 222.63 is: 332.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149 : 222.63 = 222.63 : x
  2. Step 2: Convert to fraction form
    149/222.63 = 222.63/x
  3. Step 3: Cross multiply
    149x = 222.63 × 222.63
  4. Step 4: Simplify right side
    149x = 49,561.89
  5. Step 5: Solve for x
    x = 49,561.89/149
  6. Step 6: Final answer
    x = 332.63

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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.