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Finding the Third Proportional to 167,048 and 364,245

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Solution

The third proportional to 167,048 and 364,245 is: 794,229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,048 : 364,245 = 364,245 : x
  2. Step 2: Convert to fraction form
    167,048/364,245 = 364,245/x
  3. Step 3: Cross multiply
    167,048x = 364,245 × 364,245
  4. Step 4: Simplify right side
    167,048x = 132,674,420,025
  5. Step 5: Solve for x
    x = 132,674,420,025/167,048
  6. Step 6: Final answer
    x = 794,229.32

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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.