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Finding the Third Proportional to 190,608 and 363,936

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Solution

The third proportional to 190,608 and 363,936 is: 694,878.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,608 : 363,936 = 363,936 : x
  2. Step 2: Convert to fraction form
    190,608/363,936 = 363,936/x
  3. Step 3: Cross multiply
    190,608x = 363,936 × 363,936
  4. Step 4: Simplify right side
    190,608x = 132,449,412,096
  5. Step 5: Solve for x
    x = 132,449,412,096/190,608
  6. Step 6: Final answer
    x = 694,878.56

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.