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Finding the Third Proportional to 166,200 and 264,204

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Solution

The third proportional to 166,200 and 264,204 is: 419,998.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,200 : 264,204 = 264,204 : x
  2. Step 2: Convert to fraction form
    166,200/264,204 = 264,204/x
  3. Step 3: Cross multiply
    166,200x = 264,204 × 264,204
  4. Step 4: Simplify right side
    166,200x = 69,803,753,616
  5. Step 5: Solve for x
    x = 69,803,753,616/166,200
  6. Step 6: Final answer
    x = 419,998.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.