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Finding the Third Proportional to 167,186 and 378,005

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Solution

The third proportional to 167,186 and 378,005 is: 854,663.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,186 : 378,005 = 378,005 : x
  2. Step 2: Convert to fraction form
    167,186/378,005 = 378,005/x
  3. Step 3: Cross multiply
    167,186x = 378,005 × 378,005
  4. Step 4: Simplify right side
    167,186x = 142,887,780,025
  5. Step 5: Solve for x
    x = 142,887,780,025/167,186
  6. Step 6: Final answer
    x = 854,663.55

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.