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Finding the Third Proportional to 144,033.75 and 218,040.75

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Solution

The third proportional to 144,033.75 and 218,040.75 is: 330,073.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,033.75 : 218,040.75 = 218,040.75 : x
  2. Step 2: Convert to fraction form
    144,033.75/218,040.75 = 218,040.75/x
  3. Step 3: Cross multiply
    144,033.75x = 218,040.75 × 218,040.75
  4. Step 4: Simplify right side
    144,033.75x = 47,541,768,660.56
  5. Step 5: Solve for x
    x = 47,541,768,660.56/144,033.75
  6. Step 6: Final answer
    x = 330,073.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.