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Finding the Third Proportional to 166,941 and 347,706

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Solution

The third proportional to 166,941 and 347,706 is: 724,204.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,941 : 347,706 = 347,706 : x
  2. Step 2: Convert to fraction form
    166,941/347,706 = 347,706/x
  3. Step 3: Cross multiply
    166,941x = 347,706 × 347,706
  4. Step 4: Simplify right side
    166,941x = 120,899,462,436
  5. Step 5: Solve for x
    x = 120,899,462,436/166,941
  6. Step 6: Final answer
    x = 724,204.73

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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.