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Finding the Third Proportional to 168,441.75 and 365,212.13

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Solution

The third proportional to 168,441.75 and 365,212.13 is: 791,845.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,441.75 : 365,212.13 = 365,212.13 : x
  2. Step 2: Convert to fraction form
    168,441.75/365,212.13 = 365,212.13/x
  3. Step 3: Cross multiply
    168,441.75x = 365,212.13 × 365,212.13
  4. Step 4: Simplify right side
    168,441.75x = 133,379,896,247.02
  5. Step 5: Solve for x
    x = 133,379,896,247.02/168,441.75
  6. Step 6: Final answer
    x = 791,845.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.