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Finding the Third Proportional to 152,067 and 238,544

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Solution

The third proportional to 152,067 and 238,544 is: 374,198.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,067 : 238,544 = 238,544 : x
  2. Step 2: Convert to fraction form
    152,067/238,544 = 238,544/x
  3. Step 3: Cross multiply
    152,067x = 238,544 × 238,544
  4. Step 4: Simplify right side
    152,067x = 56,903,239,936
  5. Step 5: Solve for x
    x = 56,903,239,936/152,067
  6. Step 6: Final answer
    x = 374,198.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.