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Finding the Third Proportional to 167,566 and 365,238

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Solution

The third proportional to 167,566 and 365,238 is: 796,097.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,566 : 365,238 = 365,238 : x
  2. Step 2: Convert to fraction form
    167,566/365,238 = 365,238/x
  3. Step 3: Cross multiply
    167,566x = 365,238 × 365,238
  4. Step 4: Simplify right side
    167,566x = 133,398,796,644
  5. Step 5: Solve for x
    x = 133,398,796,644/167,566
  6. Step 6: Final answer
    x = 796,097.04

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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.