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Finding the Third Proportional to 171,173 and 227,181

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Solution

The third proportional to 171,173 and 227,181 is: 301,514.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,173 : 227,181 = 227,181 : x
  2. Step 2: Convert to fraction form
    171,173/227,181 = 227,181/x
  3. Step 3: Cross multiply
    171,173x = 227,181 × 227,181
  4. Step 4: Simplify right side
    171,173x = 51,611,206,761
  5. Step 5: Solve for x
    x = 51,611,206,761/171,173
  6. Step 6: Final answer
    x = 301,514.88

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.