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Finding the Third Proportional to 166,594 and 364,256

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Solution

The third proportional to 166,594 and 364,256 is: 796,441.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,594 : 364,256 = 364,256 : x
  2. Step 2: Convert to fraction form
    166,594/364,256 = 364,256/x
  3. Step 3: Cross multiply
    166,594x = 364,256 × 364,256
  4. Step 4: Simplify right side
    166,594x = 132,682,433,536
  5. Step 5: Solve for x
    x = 132,682,433,536/166,594
  6. Step 6: Final answer
    x = 796,441.85

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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.