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Finding the Third Proportional to 166,500 and 364,104

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Solution

The third proportional to 166,500 and 364,104 is: 796,226.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,500 : 364,104 = 364,104 : x
  2. Step 2: Convert to fraction form
    166,500/364,104 = 364,104/x
  3. Step 3: Cross multiply
    166,500x = 364,104 × 364,104
  4. Step 4: Simplify right side
    166,500x = 132,571,722,816
  5. Step 5: Solve for x
    x = 132,571,722,816/166,500
  6. Step 6: Final answer
    x = 796,226.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.