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Finding the Third Proportional to 150,843.75 and 240,105.75

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Solution

The third proportional to 150,843.75 and 240,105.75 is: 382,188.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,843.75 : 240,105.75 = 240,105.75 : x
  2. Step 2: Convert to fraction form
    150,843.75/240,105.75 = 240,105.75/x
  3. Step 3: Cross multiply
    150,843.75x = 240,105.75 × 240,105.75
  4. Step 4: Simplify right side
    150,843.75x = 57,650,771,183.06
  5. Step 5: Solve for x
    x = 57,650,771,183.06/150,843.75
  6. Step 6: Final answer
    x = 382,188.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.