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Finding the Third Proportional to 183,096 and 277,227

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Solution

The third proportional to 183,096 and 277,227 is: 419,751.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,096 : 277,227 = 277,227 : x
  2. Step 2: Convert to fraction form
    183,096/277,227 = 277,227/x
  3. Step 3: Cross multiply
    183,096x = 277,227 × 277,227
  4. Step 4: Simplify right side
    183,096x = 76,854,809,529
  5. Step 5: Solve for x
    x = 76,854,809,529/183,096
  6. Step 6: Final answer
    x = 419,751.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.