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Finding the Third Proportional to 166,256.44 and 257,961.94

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Solution

The third proportional to 166,256.44 and 257,961.94 is: 400,251.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,256.44 : 257,961.94 = 257,961.94 : x
  2. Step 2: Convert to fraction form
    166,256.44/257,961.94 = 257,961.94/x
  3. Step 3: Cross multiply
    166,256.44x = 257,961.94 × 257,961.94
  4. Step 4: Simplify right side
    166,256.44x = 66,544,361,198.75
  5. Step 5: Solve for x
    x = 66,544,361,198.75/166,256.44
  6. Step 6: Final answer
    x = 400,251.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.