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Finding the Third Proportional to 166,002 and 253,863

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Solution

The third proportional to 166,002 and 253,863 is: 388,226.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,002 : 253,863 = 253,863 : x
  2. Step 2: Convert to fraction form
    166,002/253,863 = 253,863/x
  3. Step 3: Cross multiply
    166,002x = 253,863 × 253,863
  4. Step 4: Simplify right side
    166,002x = 64,446,422,769
  5. Step 5: Solve for x
    x = 64,446,422,769/166,002
  6. Step 6: Final answer
    x = 388,226.79

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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.