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Finding the Third Proportional to 80,493 and 176,844

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Solution

The third proportional to 80,493 and 176,844 is: 388,528.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,493 : 176,844 = 176,844 : x
  2. Step 2: Convert to fraction form
    80,493/176,844 = 176,844/x
  3. Step 3: Cross multiply
    80,493x = 176,844 × 176,844
  4. Step 4: Simplify right side
    80,493x = 31,273,800,336
  5. Step 5: Solve for x
    x = 31,273,800,336/80,493
  6. Step 6: Final answer
    x = 388,528.20

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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.