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Finding the Third Proportional to 167,676 and 366,456

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Solution

The third proportional to 167,676 and 366,456 is: 800,889.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,676 : 366,456 = 366,456 : x
  2. Step 2: Convert to fraction form
    167,676/366,456 = 366,456/x
  3. Step 3: Cross multiply
    167,676x = 366,456 × 366,456
  4. Step 4: Simplify right side
    167,676x = 134,289,999,936
  5. Step 5: Solve for x
    x = 134,289,999,936/167,676
  6. Step 6: Final answer
    x = 800,889.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.