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Finding the Third Proportional to 84,286 and 194,634

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Solution

The third proportional to 84,286 and 194,634 is: 449,450.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,286 : 194,634 = 194,634 : x
  2. Step 2: Convert to fraction form
    84,286/194,634 = 194,634/x
  3. Step 3: Cross multiply
    84,286x = 194,634 × 194,634
  4. Step 4: Simplify right side
    84,286x = 37,882,393,956
  5. Step 5: Solve for x
    x = 37,882,393,956/84,286
  6. Step 6: Final answer
    x = 449,450.61

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.