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Finding the Third Proportional to 80,524 and 176,977

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Solution

The third proportional to 80,524 and 176,977 is: 388,963.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,524 : 176,977 = 176,977 : x
  2. Step 2: Convert to fraction form
    80,524/176,977 = 176,977/x
  3. Step 3: Cross multiply
    80,524x = 176,977 × 176,977
  4. Step 4: Simplify right side
    80,524x = 31,320,858,529
  5. Step 5: Solve for x
    x = 31,320,858,529/80,524
  6. Step 6: Final answer
    x = 388,963.02

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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.