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Finding the Third Proportional to 80,833 and 176,350

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Solution

The third proportional to 80,833 and 176,350 is: 384,735.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,833 : 176,350 = 176,350 : x
  2. Step 2: Convert to fraction form
    80,833/176,350 = 176,350/x
  3. Step 3: Cross multiply
    80,833x = 176,350 × 176,350
  4. Step 4: Simplify right side
    80,833x = 31,099,322,500
  5. Step 5: Solve for x
    x = 31,099,322,500/80,833
  6. Step 6: Final answer
    x = 384,735.47

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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.