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Finding the Third Proportional to 188,412 and 263,544

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Solution

The third proportional to 188,412 and 263,544 is: 368,635.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,412 : 263,544 = 263,544 : x
  2. Step 2: Convert to fraction form
    188,412/263,544 = 263,544/x
  3. Step 3: Cross multiply
    188,412x = 263,544 × 263,544
  4. Step 4: Simplify right side
    188,412x = 69,455,439,936
  5. Step 5: Solve for x
    x = 69,455,439,936/188,412
  6. Step 6: Final answer
    x = 368,635.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.