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Finding the Third Proportional to 149,512.50 and 222,126.75

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Solution

The third proportional to 149,512.50 and 222,126.75 is: 330,007.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,512.50 : 222,126.75 = 222,126.75 : x
  2. Step 2: Convert to fraction form
    149,512.50/222,126.75 = 222,126.75/x
  3. Step 3: Cross multiply
    149,512.50x = 222,126.75 × 222,126.75
  4. Step 4: Simplify right side
    149,512.50x = 49,340,293,065.56
  5. Step 5: Solve for x
    x = 49,340,293,065.56/149,512.50
  6. Step 6: Final answer
    x = 330,007.81

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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.