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Finding the Third Proportional to 80,519 and 174,911

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Solution

The third proportional to 80,519 and 174,911 is: 379,958.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,519 : 174,911 = 174,911 : x
  2. Step 2: Convert to fraction form
    80,519/174,911 = 174,911/x
  3. Step 3: Cross multiply
    80,519x = 174,911 × 174,911
  4. Step 4: Simplify right side
    80,519x = 30,593,857,921
  5. Step 5: Solve for x
    x = 30,593,857,921/80,519
  6. Step 6: Final answer
    x = 379,958.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.