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Finding the Third Proportional to 194,022 and 289,836

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Solution

The third proportional to 194,022 and 289,836 is: 432,965.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,022 : 289,836 = 289,836 : x
  2. Step 2: Convert to fraction form
    194,022/289,836 = 289,836/x
  3. Step 3: Cross multiply
    194,022x = 289,836 × 289,836
  4. Step 4: Simplify right side
    194,022x = 84,004,906,896
  5. Step 5: Solve for x
    x = 84,004,906,896/194,022
  6. Step 6: Final answer
    x = 432,965.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.