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Finding the Third Proportional to 190,968 and 397,635

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Solution

The third proportional to 190,968 and 397,635 is: 827,958.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,968 : 397,635 = 397,635 : x
  2. Step 2: Convert to fraction form
    190,968/397,635 = 397,635/x
  3. Step 3: Cross multiply
    190,968x = 397,635 × 397,635
  4. Step 4: Simplify right side
    190,968x = 158,113,593,225
  5. Step 5: Solve for x
    x = 158,113,593,225/190,968
  6. Step 6: Final answer
    x = 827,958.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.