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Finding the Third Proportional to 167,563.69 and 365,236.59

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Solution

The third proportional to 167,563.69 and 365,236.59 is: 796,101.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,563.69 : 365,236.59 = 365,236.59 : x
  2. Step 2: Convert to fraction form
    167,563.69/365,236.59 = 365,236.59/x
  3. Step 3: Cross multiply
    167,563.69x = 365,236.59 × 365,236.59
  4. Step 4: Simplify right side
    167,563.69x = 133,397,769,414.10
  5. Step 5: Solve for x
    x = 133,397,769,414.10/167,563.69
  6. Step 6: Final answer
    x = 796,101.90

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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.