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Finding the Third Proportional to 166,296 and 367,592

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Solution

The third proportional to 166,296 and 367,592 is: 812,550.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,296 : 367,592 = 367,592 : x
  2. Step 2: Convert to fraction form
    166,296/367,592 = 367,592/x
  3. Step 3: Cross multiply
    166,296x = 367,592 × 367,592
  4. Step 4: Simplify right side
    166,296x = 135,123,878,464
  5. Step 5: Solve for x
    x = 135,123,878,464/166,296
  6. Step 6: Final answer
    x = 812,550.38

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.