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Finding the Third Proportional to 190,736 and 414,244

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Solution

The third proportional to 190,736 and 414,244 is: 899,662.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,736 : 414,244 = 414,244 : x
  2. Step 2: Convert to fraction form
    190,736/414,244 = 414,244/x
  3. Step 3: Cross multiply
    190,736x = 414,244 × 414,244
  4. Step 4: Simplify right side
    190,736x = 171,598,091,536
  5. Step 5: Solve for x
    x = 171,598,091,536/190,736
  6. Step 6: Final answer
    x = 899,662.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.