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Finding the Third Proportional to 115,698 and 234,615

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Solution

The third proportional to 115,698 and 234,615 is: 475,757.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,698 : 234,615 = 234,615 : x
  2. Step 2: Convert to fraction form
    115,698/234,615 = 234,615/x
  3. Step 3: Cross multiply
    115,698x = 234,615 × 234,615
  4. Step 4: Simplify right side
    115,698x = 55,044,198,225
  5. Step 5: Solve for x
    x = 55,044,198,225/115,698
  6. Step 6: Final answer
    x = 475,757.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.