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Finding the Third Proportional to 140,240.25 and 300,183.75

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Solution

The third proportional to 140,240.25 and 300,183.75 is: 642,542.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,240.25 : 300,183.75 = 300,183.75 : x
  2. Step 2: Convert to fraction form
    140,240.25/300,183.75 = 300,183.75/x
  3. Step 3: Cross multiply
    140,240.25x = 300,183.75 × 300,183.75
  4. Step 4: Simplify right side
    140,240.25x = 90,110,283,764.06
  5. Step 5: Solve for x
    x = 90,110,283,764.06/140,240.25
  6. Step 6: Final answer
    x = 642,542.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.