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Finding the Third Proportional to 170,072 and 371,227

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Solution

The third proportional to 170,072 and 371,227 is: 810,300.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,072 : 371,227 = 371,227 : x
  2. Step 2: Convert to fraction form
    170,072/371,227 = 371,227/x
  3. Step 3: Cross multiply
    170,072x = 371,227 × 371,227
  4. Step 4: Simplify right side
    170,072x = 137,809,485,529
  5. Step 5: Solve for x
    x = 137,809,485,529/170,072
  6. Step 6: Final answer
    x = 810,300.85

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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.