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Finding the Third Proportional to 77,366 and 167,296

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Solution

The third proportional to 77,366 and 167,296 is: 361,760.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,366 : 167,296 = 167,296 : x
  2. Step 2: Convert to fraction form
    77,366/167,296 = 167,296/x
  3. Step 3: Cross multiply
    77,366x = 167,296 × 167,296
  4. Step 4: Simplify right side
    77,366x = 27,987,951,616
  5. Step 5: Solve for x
    x = 27,987,951,616/77,366
  6. Step 6: Final answer
    x = 361,760.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.