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Finding the Third Proportional to 77 and 204

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Solution

The third proportional to 77 and 204 is: 540.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77 : 204 = 204 : x
  2. Step 2: Convert to fraction form
    77/204 = 204/x
  3. Step 3: Cross multiply
    77x = 204 × 204
  4. Step 4: Simplify right side
    77x = 41,616
  5. Step 5: Solve for x
    x = 41,616/77
  6. Step 6: Final answer
    x = 540.47

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.