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Finding the Third Proportional to 188,932 and 399,191

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Solution

The third proportional to 188,932 and 399,191 is: 843,443.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,932 : 399,191 = 399,191 : x
  2. Step 2: Convert to fraction form
    188,932/399,191 = 399,191/x
  3. Step 3: Cross multiply
    188,932x = 399,191 × 399,191
  4. Step 4: Simplify right side
    188,932x = 159,353,454,481
  5. Step 5: Solve for x
    x = 159,353,454,481/188,932
  6. Step 6: Final answer
    x = 843,443.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.