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Finding the Third Proportional to 80,997 and 177,933

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Solution

The third proportional to 80,997 and 177,933 is: 390,880.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,997 : 177,933 = 177,933 : x
  2. Step 2: Convert to fraction form
    80,997/177,933 = 177,933/x
  3. Step 3: Cross multiply
    80,997x = 177,933 × 177,933
  4. Step 4: Simplify right side
    80,997x = 31,660,152,489
  5. Step 5: Solve for x
    x = 31,660,152,489/80,997
  6. Step 6: Final answer
    x = 390,880.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.