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Finding the Third Proportional to 166,536 and 374,868

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Solution

The third proportional to 166,536 and 374,868 is: 843,817.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,536 : 374,868 = 374,868 : x
  2. Step 2: Convert to fraction form
    166,536/374,868 = 374,868/x
  3. Step 3: Cross multiply
    166,536x = 374,868 × 374,868
  4. Step 4: Simplify right side
    166,536x = 140,526,017,424
  5. Step 5: Solve for x
    x = 140,526,017,424/166,536
  6. Step 6: Final answer
    x = 843,817.66

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.