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Finding the Third Proportional to 182,900 and 274,836

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Solution

The third proportional to 182,900 and 274,836 is: 412,984.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,900 : 274,836 = 274,836 : x
  2. Step 2: Convert to fraction form
    182,900/274,836 = 274,836/x
  3. Step 3: Cross multiply
    182,900x = 274,836 × 274,836
  4. Step 4: Simplify right side
    182,900x = 75,534,826,896
  5. Step 5: Solve for x
    x = 75,534,826,896/182,900
  6. Step 6: Final answer
    x = 412,984.29

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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.