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Finding the Third Proportional to 263,022 and 372,171

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Solution

The third proportional to 263,022 and 372,171 is: 526,614.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,022 : 372,171 = 372,171 : x
  2. Step 2: Convert to fraction form
    263,022/372,171 = 372,171/x
  3. Step 3: Cross multiply
    263,022x = 372,171 × 372,171
  4. Step 4: Simplify right side
    263,022x = 138,511,253,241
  5. Step 5: Solve for x
    x = 138,511,253,241/263,022
  6. Step 6: Final answer
    x = 526,614.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.