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Finding the Third Proportional to 149.03 and 223.84

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Solution

The third proportional to 149.03 and 223.84 is: 336.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.03 : 223.84 = 223.84 : x
  2. Step 2: Convert to fraction form
    149.03/223.84 = 223.84/x
  3. Step 3: Cross multiply
    149.03x = 223.84 × 223.84
  4. Step 4: Simplify right side
    149.03x = 50,106.02
  5. Step 5: Solve for x
    x = 50,106.02/149.03
  6. Step 6: Final answer
    x = 336.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.