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Finding the Third Proportional to 193,853.25 and 285,221.25

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Solution

The third proportional to 193,853.25 and 285,221.25 is: 419,653.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,853.25 : 285,221.25 = 285,221.25 : x
  2. Step 2: Convert to fraction form
    193,853.25/285,221.25 = 285,221.25/x
  3. Step 3: Cross multiply
    193,853.25x = 285,221.25 × 285,221.25
  4. Step 4: Simplify right side
    193,853.25x = 81,351,161,451.56
  5. Step 5: Solve for x
    x = 81,351,161,451.56/193,853.25
  6. Step 6: Final answer
    x = 419,653.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.