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Finding the Third Proportional to 194,400 and 417,744

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Solution

The third proportional to 194,400 and 417,744 is: 897,685.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,400 : 417,744 = 417,744 : x
  2. Step 2: Convert to fraction form
    194,400/417,744 = 417,744/x
  3. Step 3: Cross multiply
    194,400x = 417,744 × 417,744
  4. Step 4: Simplify right side
    194,400x = 174,510,049,536
  5. Step 5: Solve for x
    x = 174,510,049,536/194,400
  6. Step 6: Final answer
    x = 897,685.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.