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Finding the Third Proportional to 166,586 and 256,251

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Solution

The third proportional to 166,586 and 256,251 is: 394,178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,586 : 256,251 = 256,251 : x
  2. Step 2: Convert to fraction form
    166,586/256,251 = 256,251/x
  3. Step 3: Cross multiply
    166,586x = 256,251 × 256,251
  4. Step 4: Simplify right side
    166,586x = 65,664,575,001
  5. Step 5: Solve for x
    x = 65,664,575,001/166,586
  6. Step 6: Final answer
    x = 394,178.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.