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Finding the Third Proportional to 80,794 and 176,276

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Solution

The third proportional to 80,794 and 176,276 is: 384,598.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,794 : 176,276 = 176,276 : x
  2. Step 2: Convert to fraction form
    80,794/176,276 = 176,276/x
  3. Step 3: Cross multiply
    80,794x = 176,276 × 176,276
  4. Step 4: Simplify right side
    80,794x = 31,073,228,176
  5. Step 5: Solve for x
    x = 31,073,228,176/80,794
  6. Step 6: Final answer
    x = 384,598.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.