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Finding the Third Proportional to 174,939.75 and 381,538.69

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Solution

The third proportional to 174,939.75 and 381,538.69 is: 832,125.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,939.75 : 381,538.69 = 381,538.69 : x
  2. Step 2: Convert to fraction form
    174,939.75/381,538.69 = 381,538.69/x
  3. Step 3: Cross multiply
    174,939.75x = 381,538.69 × 381,538.69
  4. Step 4: Simplify right side
    174,939.75x = 145,571,770,059.22
  5. Step 5: Solve for x
    x = 145,571,770,059.22/174,939.75
  6. Step 6: Final answer
    x = 832,125.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.