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Finding the Third Proportional to 167,845 and 365,203

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Solution

The third proportional to 167,845 and 365,203 is: 794,621.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,845 : 365,203 = 365,203 : x
  2. Step 2: Convert to fraction form
    167,845/365,203 = 365,203/x
  3. Step 3: Cross multiply
    167,845x = 365,203 × 365,203
  4. Step 4: Simplify right side
    167,845x = 133,373,231,209
  5. Step 5: Solve for x
    x = 133,373,231,209/167,845
  6. Step 6: Final answer
    x = 794,621.41

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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.