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Finding the Third Proportional to 241,972 and 363,198

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Solution

The third proportional to 241,972 and 363,198 is: 545,157.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,972 : 363,198 = 363,198 : x
  2. Step 2: Convert to fraction form
    241,972/363,198 = 363,198/x
  3. Step 3: Cross multiply
    241,972x = 363,198 × 363,198
  4. Step 4: Simplify right side
    241,972x = 131,912,787,204
  5. Step 5: Solve for x
    x = 131,912,787,204/241,972
  6. Step 6: Final answer
    x = 545,157.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.