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Finding the Third Proportional to 116,256 and 179,568

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Solution

The third proportional to 116,256 and 179,568 is: 277,359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,256 : 179,568 = 179,568 : x
  2. Step 2: Convert to fraction form
    116,256/179,568 = 179,568/x
  3. Step 3: Cross multiply
    116,256x = 179,568 × 179,568
  4. Step 4: Simplify right side
    116,256x = 32,244,666,624
  5. Step 5: Solve for x
    x = 32,244,666,624/116,256
  6. Step 6: Final answer
    x = 277,359.16

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.