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Finding the Third Proportional to 182,906 and 274,845

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Solution

The third proportional to 182,906 and 274,845 is: 412,997.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,906 : 274,845 = 274,845 : x
  2. Step 2: Convert to fraction form
    182,906/274,845 = 274,845/x
  3. Step 3: Cross multiply
    182,906x = 274,845 × 274,845
  4. Step 4: Simplify right side
    182,906x = 75,539,774,025
  5. Step 5: Solve for x
    x = 75,539,774,025/182,906
  6. Step 6: Final answer
    x = 412,997.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.