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Finding the Third Proportional to 167,073 and 360,227

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Solution

The third proportional to 167,073 and 360,227 is: 776,687.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,073 : 360,227 = 360,227 : x
  2. Step 2: Convert to fraction form
    167,073/360,227 = 360,227/x
  3. Step 3: Cross multiply
    167,073x = 360,227 × 360,227
  4. Step 4: Simplify right side
    167,073x = 129,763,491,529
  5. Step 5: Solve for x
    x = 129,763,491,529/167,073
  6. Step 6: Final answer
    x = 776,687.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.