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Finding the Third Proportional to 143,020.25 and 194,238.75

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Solution

The third proportional to 143,020.25 and 194,238.75 is: 263,799.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,020.25 : 194,238.75 = 194,238.75 : x
  2. Step 2: Convert to fraction form
    143,020.25/194,238.75 = 194,238.75/x
  3. Step 3: Cross multiply
    143,020.25x = 194,238.75 × 194,238.75
  4. Step 4: Simplify right side
    143,020.25x = 37,728,692,001.56
  5. Step 5: Solve for x
    x = 37,728,692,001.56/143,020.25
  6. Step 6: Final answer
    x = 263,799.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.