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Finding the Third Proportional to 166,227 and 356,268

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Solution

The third proportional to 166,227 and 356,268 is: 763,575.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,227 : 356,268 = 356,268 : x
  2. Step 2: Convert to fraction form
    166,227/356,268 = 356,268/x
  3. Step 3: Cross multiply
    166,227x = 356,268 × 356,268
  4. Step 4: Simplify right side
    166,227x = 126,926,887,824
  5. Step 5: Solve for x
    x = 126,926,887,824/166,227
  6. Step 6: Final answer
    x = 763,575.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.