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Finding the Third Proportional to 166,287 and 376,962

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Solution

The third proportional to 166,287 and 376,962 is: 854,548.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,287 : 376,962 = 376,962 : x
  2. Step 2: Convert to fraction form
    166,287/376,962 = 376,962/x
  3. Step 3: Cross multiply
    166,287x = 376,962 × 376,962
  4. Step 4: Simplify right side
    166,287x = 142,100,349,444
  5. Step 5: Solve for x
    x = 142,100,349,444/166,287
  6. Step 6: Final answer
    x = 854,548.76

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.