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Finding the Third Proportional to 167,622 and 364,764

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Solution

The third proportional to 167,622 and 364,764 is: 793,766.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,622 : 364,764 = 364,764 : x
  2. Step 2: Convert to fraction form
    167,622/364,764 = 364,764/x
  3. Step 3: Cross multiply
    167,622x = 364,764 × 364,764
  4. Step 4: Simplify right side
    167,622x = 133,052,775,696
  5. Step 5: Solve for x
    x = 133,052,775,696/167,622
  6. Step 6: Final answer
    x = 793,766.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.