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Finding the Third Proportional to 179,151.75 and 422,318.81

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Solution

The third proportional to 179,151.75 and 422,318.81 is: 995,542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,151.75 : 422,318.81 = 422,318.81 : x
  2. Step 2: Convert to fraction form
    179,151.75/422,318.81 = 422,318.81/x
  3. Step 3: Cross multiply
    179,151.75x = 422,318.81 × 422,318.81
  4. Step 4: Simplify right side
    179,151.75x = 178,353,179,391.41
  5. Step 5: Solve for x
    x = 178,353,179,391.41/179,151.75
  6. Step 6: Final answer
    x = 995,542.49

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.