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Finding the Third Proportional to 116,578.13 and 175,299.75

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Solution

The third proportional to 116,578.13 and 175,299.75 is: 263,600.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,578.13 : 175,299.75 = 175,299.75 : x
  2. Step 2: Convert to fraction form
    116,578.13/175,299.75 = 175,299.75/x
  3. Step 3: Cross multiply
    116,578.13x = 175,299.75 × 175,299.75
  4. Step 4: Simplify right side
    116,578.13x = 30,730,002,350.06
  5. Step 5: Solve for x
    x = 30,730,002,350.06/116,578.13
  6. Step 6: Final answer
    x = 263,600.07

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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.