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Finding the Third Proportional to 167,549 and 365,206

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Solution

The third proportional to 167,549 and 365,206 is: 796,038.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,549 : 365,206 = 365,206 : x
  2. Step 2: Convert to fraction form
    167,549/365,206 = 365,206/x
  3. Step 3: Cross multiply
    167,549x = 365,206 × 365,206
  4. Step 4: Simplify right side
    167,549x = 133,375,422,436
  5. Step 5: Solve for x
    x = 133,375,422,436/167,549
  6. Step 6: Final answer
    x = 796,038.31

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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.