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Finding the Third Proportional to 166,256 and 263,301

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Solution

The third proportional to 166,256 and 263,301 is: 416,991.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,256 : 263,301 = 263,301 : x
  2. Step 2: Convert to fraction form
    166,256/263,301 = 263,301/x
  3. Step 3: Cross multiply
    166,256x = 263,301 × 263,301
  4. Step 4: Simplify right side
    166,256x = 69,327,416,601
  5. Step 5: Solve for x
    x = 69,327,416,601/166,256
  6. Step 6: Final answer
    x = 416,991.97

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.