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Finding the Third Proportional to 167,722 and 364,970

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Solution

The third proportional to 167,722 and 364,970 is: 794,189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,722 : 364,970 = 364,970 : x
  2. Step 2: Convert to fraction form
    167,722/364,970 = 364,970/x
  3. Step 3: Cross multiply
    167,722x = 364,970 × 364,970
  4. Step 4: Simplify right side
    167,722x = 133,203,100,900
  5. Step 5: Solve for x
    x = 133,203,100,900/167,722
  6. Step 6: Final answer
    x = 794,189.80

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