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Finding the Third Proportional to 149,524 and 222,990

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Solution

The third proportional to 149,524 and 222,990 is: 332,552.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,524 : 222,990 = 222,990 : x
  2. Step 2: Convert to fraction form
    149,524/222,990 = 222,990/x
  3. Step 3: Cross multiply
    149,524x = 222,990 × 222,990
  4. Step 4: Simplify right side
    149,524x = 49,724,540,100
  5. Step 5: Solve for x
    x = 49,724,540,100/149,524
  6. Step 6: Final answer
    x = 332,552.23

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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.