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Finding the Third Proportional to 183,733.50 and 275,601.75

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Solution

The third proportional to 183,733.50 and 275,601.75 is: 413,404.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,733.50 : 275,601.75 = 275,601.75 : x
  2. Step 2: Convert to fraction form
    183,733.50/275,601.75 = 275,601.75/x
  3. Step 3: Cross multiply
    183,733.50x = 275,601.75 × 275,601.75
  4. Step 4: Simplify right side
    183,733.50x = 75,956,324,603.06
  5. Step 5: Solve for x
    x = 75,956,324,603.06/183,733.50
  6. Step 6: Final answer
    x = 413,404.88

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