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Finding the Third Proportional to 115,859 and 270,665

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Solution

The third proportional to 115,859 and 270,665 is: 632,316.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,859 : 270,665 = 270,665 : x
  2. Step 2: Convert to fraction form
    115,859/270,665 = 270,665/x
  3. Step 3: Cross multiply
    115,859x = 270,665 × 270,665
  4. Step 4: Simplify right side
    115,859x = 73,259,542,225
  5. Step 5: Solve for x
    x = 73,259,542,225/115,859
  6. Step 6: Final answer
    x = 632,316.37

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.