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Finding the Third Proportional to 140,198.75 and 304,059.75

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Solution

The third proportional to 140,198.75 and 304,059.75 is: 659,437.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,198.75 : 304,059.75 = 304,059.75 : x
  2. Step 2: Convert to fraction form
    140,198.75/304,059.75 = 304,059.75/x
  3. Step 3: Cross multiply
    140,198.75x = 304,059.75 × 304,059.75
  4. Step 4: Simplify right side
    140,198.75x = 92,452,331,570.06
  5. Step 5: Solve for x
    x = 92,452,331,570.06/140,198.75
  6. Step 6: Final answer
    x = 659,437.63

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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.