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Finding the Third Proportional to 115,344 and 248,568

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Solution

The third proportional to 115,344 and 248,568 is: 535,667.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,344 : 248,568 = 248,568 : x
  2. Step 2: Convert to fraction form
    115,344/248,568 = 248,568/x
  3. Step 3: Cross multiply
    115,344x = 248,568 × 248,568
  4. Step 4: Simplify right side
    115,344x = 61,786,050,624
  5. Step 5: Solve for x
    x = 61,786,050,624/115,344
  6. Step 6: Final answer
    x = 535,667.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.