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Finding the Third Proportional to 116,576 and 255,568

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Solution

The third proportional to 116,576 and 255,568 is: 560,278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,576 : 255,568 = 255,568 : x
  2. Step 2: Convert to fraction form
    116,576/255,568 = 255,568/x
  3. Step 3: Cross multiply
    116,576x = 255,568 × 255,568
  4. Step 4: Simplify right side
    116,576x = 65,315,002,624
  5. Step 5: Solve for x
    x = 65,315,002,624/116,576
  6. Step 6: Final answer
    x = 560,278.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.