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Finding the Third Proportional to 146,190.75 and 218,679

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Solution

The third proportional to 146,190.75 and 218,679 is: 327,110.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,190.75 : 218,679 = 218,679 : x
  2. Step 2: Convert to fraction form
    146,190.75/218,679 = 218,679/x
  3. Step 3: Cross multiply
    146,190.75x = 218,679 × 218,679
  4. Step 4: Simplify right side
    146,190.75x = 47,820,505,041
  5. Step 5: Solve for x
    x = 47,820,505,041/146,190.75
  6. Step 6: Final answer
    x = 327,110.33

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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.