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Finding the Third Proportional to 171,236 and 227,274

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Solution

The third proportional to 171,236 and 227,274 is: 301,650.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,236 : 227,274 = 227,274 : x
  2. Step 2: Convert to fraction form
    171,236/227,274 = 227,274/x
  3. Step 3: Cross multiply
    171,236x = 227,274 × 227,274
  4. Step 4: Simplify right side
    171,236x = 51,653,471,076
  5. Step 5: Solve for x
    x = 51,653,471,076/171,236
  6. Step 6: Final answer
    x = 301,650.77

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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.