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Finding the Third Proportional to 166,082 and 337,076

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Solution

The third proportional to 166,082 and 337,076 is: 684,121.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,082 : 337,076 = 337,076 : x
  2. Step 2: Convert to fraction form
    166,082/337,076 = 337,076/x
  3. Step 3: Cross multiply
    166,082x = 337,076 × 337,076
  4. Step 4: Simplify right side
    166,082x = 113,620,229,776
  5. Step 5: Solve for x
    x = 113,620,229,776/166,082
  6. Step 6: Final answer
    x = 684,121.28

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.