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Finding the Third Proportional to 151,927 and 327,227

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Solution

The third proportional to 151,927 and 327,227 is: 704,795.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,927 : 327,227 = 327,227 : x
  2. Step 2: Convert to fraction form
    151,927/327,227 = 327,227/x
  3. Step 3: Cross multiply
    151,927x = 327,227 × 327,227
  4. Step 4: Simplify right side
    151,927x = 107,077,509,529
  5. Step 5: Solve for x
    x = 107,077,509,529/151,927
  6. Step 6: Final answer
    x = 704,795.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.