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Finding the Third Proportional to 116,589.75 and 308,568.75

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Solution

The third proportional to 116,589.75 and 308,568.75 is: 816,664.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,589.75 : 308,568.75 = 308,568.75 : x
  2. Step 2: Convert to fraction form
    116,589.75/308,568.75 = 308,568.75/x
  3. Step 3: Cross multiply
    116,589.75x = 308,568.75 × 308,568.75
  4. Step 4: Simplify right side
    116,589.75x = 95,214,673,476.56
  5. Step 5: Solve for x
    x = 95,214,673,476.56/116,589.75
  6. Step 6: Final answer
    x = 816,664.19

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.