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Finding the Third Proportional to 166,936 and 255,930

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Solution

The third proportional to 166,936 and 255,930 is: 392,366.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,936 : 255,930 = 255,930 : x
  2. Step 2: Convert to fraction form
    166,936/255,930 = 255,930/x
  3. Step 3: Cross multiply
    166,936x = 255,930 × 255,930
  4. Step 4: Simplify right side
    166,936x = 65,500,164,900
  5. Step 5: Solve for x
    x = 65,500,164,900/166,936
  6. Step 6: Final answer
    x = 392,366.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.