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Finding the Third Proportional to 90,434 and 188,932

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Solution

The third proportional to 90,434 and 188,932 is: 394,711.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,434 : 188,932 = 188,932 : x
  2. Step 2: Convert to fraction form
    90,434/188,932 = 188,932/x
  3. Step 3: Cross multiply
    90,434x = 188,932 × 188,932
  4. Step 4: Simplify right side
    90,434x = 35,695,300,624
  5. Step 5: Solve for x
    x = 35,695,300,624/90,434
  6. Step 6: Final answer
    x = 394,711.07

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.