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Finding the Third Proportional to 151,895.25 and 327,163.50

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Solution

The third proportional to 151,895.25 and 327,163.50 is: 704,669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,895.25 : 327,163.50 = 327,163.50 : x
  2. Step 2: Convert to fraction form
    151,895.25/327,163.50 = 327,163.50/x
  3. Step 3: Cross multiply
    151,895.25x = 327,163.50 × 327,163.50
  4. Step 4: Simplify right side
    151,895.25x = 107,035,955,732.25
  5. Step 5: Solve for x
    x = 107,035,955,732.25/151,895.25
  6. Step 6: Final answer
    x = 704,669.54

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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.