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Finding the Third Proportional to 166,982 and 347,756

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Solution

The third proportional to 166,982 and 347,756 is: 724,235.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,982 : 347,756 = 347,756 : x
  2. Step 2: Convert to fraction form
    166,982/347,756 = 347,756/x
  3. Step 3: Cross multiply
    166,982x = 347,756 × 347,756
  4. Step 4: Simplify right side
    166,982x = 120,934,235,536
  5. Step 5: Solve for x
    x = 120,934,235,536/166,982
  6. Step 6: Final answer
    x = 724,235.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.