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Finding the Third Proportional to 166,299 and 376,989

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Solution

The third proportional to 166,299 and 376,989 is: 854,609.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,299 : 376,989 = 376,989 : x
  2. Step 2: Convert to fraction form
    166,299/376,989 = 376,989/x
  3. Step 3: Cross multiply
    166,299x = 376,989 × 376,989
  4. Step 4: Simplify right side
    166,299x = 142,120,706,121
  5. Step 5: Solve for x
    x = 142,120,706,121/166,299
  6. Step 6: Final answer
    x = 854,609.51

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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.