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Finding the Third Proportional to 167,721 and 364,968

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Solution

The third proportional to 167,721 and 364,968 is: 794,185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,721 : 364,968 = 364,968 : x
  2. Step 2: Convert to fraction form
    167,721/364,968 = 364,968/x
  3. Step 3: Cross multiply
    167,721x = 364,968 × 364,968
  4. Step 4: Simplify right side
    167,721x = 133,201,641,024
  5. Step 5: Solve for x
    x = 133,201,641,024/167,721
  6. Step 6: Final answer
    x = 794,185.83

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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.