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Finding the Third Proportional to 167,566 and 365,241

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Solution

The third proportional to 167,566 and 365,241 is: 796,110.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,566 : 365,241 = 365,241 : x
  2. Step 2: Convert to fraction form
    167,566/365,241 = 365,241/x
  3. Step 3: Cross multiply
    167,566x = 365,241 × 365,241
  4. Step 4: Simplify right side
    167,566x = 133,400,988,081
  5. Step 5: Solve for x
    x = 133,400,988,081/167,566
  6. Step 6: Final answer
    x = 796,110.12

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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.