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Finding the Third Proportional to 167,348 and 367,866

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Solution

The third proportional to 167,348 and 367,866 is: 808,646.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,348 : 367,866 = 367,866 : x
  2. Step 2: Convert to fraction form
    167,348/367,866 = 367,866/x
  3. Step 3: Cross multiply
    167,348x = 367,866 × 367,866
  4. Step 4: Simplify right side
    167,348x = 135,325,393,956
  5. Step 5: Solve for x
    x = 135,325,393,956/167,348
  6. Step 6: Final answer
    x = 808,646.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.