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Finding the Third Proportional to 114,162 and 254,568

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Solution

The third proportional to 114,162 and 254,568 is: 567,657.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,162 : 254,568 = 254,568 : x
  2. Step 2: Convert to fraction form
    114,162/254,568 = 254,568/x
  3. Step 3: Cross multiply
    114,162x = 254,568 × 254,568
  4. Step 4: Simplify right side
    114,162x = 64,804,866,624
  5. Step 5: Solve for x
    x = 64,804,866,624/114,162
  6. Step 6: Final answer
    x = 567,657.07

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.