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Finding the Third Proportional to 76,880 and 165,616

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Solution

The third proportional to 76,880 and 165,616 is: 356,772.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,880 : 165,616 = 165,616 : x
  2. Step 2: Convert to fraction form
    76,880/165,616 = 165,616/x
  3. Step 3: Cross multiply
    76,880x = 165,616 × 165,616
  4. Step 4: Simplify right side
    76,880x = 27,428,659,456
  5. Step 5: Solve for x
    x = 27,428,659,456/76,880
  6. Step 6: Final answer
    x = 356,772.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.