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Finding the Third Proportional to 176,761.13 and 381,534.75

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Solution

The third proportional to 176,761.13 and 381,534.75 is: 823,533.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,761.13 : 381,534.75 = 381,534.75 : x
  2. Step 2: Convert to fraction form
    176,761.13/381,534.75 = 381,534.75/x
  3. Step 3: Cross multiply
    176,761.13x = 381,534.75 × 381,534.75
  4. Step 4: Simplify right side
    176,761.13x = 145,568,765,457.56
  5. Step 5: Solve for x
    x = 145,568,765,457.56/176,761.13
  6. Step 6: Final answer
    x = 823,533.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.