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Finding the Third Proportional to 166,596 and 364,260

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Solution

The third proportional to 166,596 and 364,260 is: 796,449.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,596 : 364,260 = 364,260 : x
  2. Step 2: Convert to fraction form
    166,596/364,260 = 364,260/x
  3. Step 3: Cross multiply
    166,596x = 364,260 × 364,260
  4. Step 4: Simplify right side
    166,596x = 132,685,347,600
  5. Step 5: Solve for x
    x = 132,685,347,600/166,596
  6. Step 6: Final answer
    x = 796,449.78

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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.