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Finding the Third Proportional to 80,994 and 177,932

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Solution

The third proportional to 80,994 and 177,932 is: 390,890.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,994 : 177,932 = 177,932 : x
  2. Step 2: Convert to fraction form
    80,994/177,932 = 177,932/x
  3. Step 3: Cross multiply
    80,994x = 177,932 × 177,932
  4. Step 4: Simplify right side
    80,994x = 31,659,796,624
  5. Step 5: Solve for x
    x = 31,659,796,624/80,994
  6. Step 6: Final answer
    x = 390,890.64

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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.