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Finding the Third Proportional to 167,489 and 365,042

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Solution

The third proportional to 167,489 and 365,042 is: 795,608.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,489 : 365,042 = 365,042 : x
  2. Step 2: Convert to fraction form
    167,489/365,042 = 365,042/x
  3. Step 3: Cross multiply
    167,489x = 365,042 × 365,042
  4. Step 4: Simplify right side
    167,489x = 133,255,661,764
  5. Step 5: Solve for x
    x = 133,255,661,764/167,489
  6. Step 6: Final answer
    x = 795,608.44

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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.