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Finding the Third Proportional to 245,067 and 374,809

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Solution

The third proportional to 245,067 and 374,809 is: 573,238.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,067 : 374,809 = 374,809 : x
  2. Step 2: Convert to fraction form
    245,067/374,809 = 374,809/x
  3. Step 3: Cross multiply
    245,067x = 374,809 × 374,809
  4. Step 4: Simplify right side
    245,067x = 140,481,786,481
  5. Step 5: Solve for x
    x = 140,481,786,481/245,067
  6. Step 6: Final answer
    x = 573,238.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.