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Finding the Third Proportional to 80,768 and 175,324

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Solution

The third proportional to 80,768 and 175,324 is: 380,577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,768 : 175,324 = 175,324 : x
  2. Step 2: Convert to fraction form
    80,768/175,324 = 175,324/x
  3. Step 3: Cross multiply
    80,768x = 175,324 × 175,324
  4. Step 4: Simplify right side
    80,768x = 30,738,504,976
  5. Step 5: Solve for x
    x = 30,738,504,976/80,768
  6. Step 6: Final answer
    x = 380,577.77

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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.