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Finding the Third Proportional to 166,031 and 366,949

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Solution

The third proportional to 166,031 and 366,949 is: 811,002.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,031 : 366,949 = 366,949 : x
  2. Step 2: Convert to fraction form
    166,031/366,949 = 366,949/x
  3. Step 3: Cross multiply
    166,031x = 366,949 × 366,949
  4. Step 4: Simplify right side
    166,031x = 134,651,568,601
  5. Step 5: Solve for x
    x = 134,651,568,601/166,031
  6. Step 6: Final answer
    x = 811,002.58

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.