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Finding the Third Proportional to 140,109.75 and 303,963.75

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Solution

The third proportional to 140,109.75 and 303,963.75 is: 659,439.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,109.75 : 303,963.75 = 303,963.75 : x
  2. Step 2: Convert to fraction form
    140,109.75/303,963.75 = 303,963.75/x
  3. Step 3: Cross multiply
    140,109.75x = 303,963.75 × 303,963.75
  4. Step 4: Simplify right side
    140,109.75x = 92,393,961,314.06
  5. Step 5: Solve for x
    x = 92,393,961,314.06/140,109.75
  6. Step 6: Final answer
    x = 659,439.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.