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Finding the Third Proportional to 115,262 and 236,234

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Solution

The third proportional to 115,262 and 236,234 is: 484,170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,262 : 236,234 = 236,234 : x
  2. Step 2: Convert to fraction form
    115,262/236,234 = 236,234/x
  3. Step 3: Cross multiply
    115,262x = 236,234 × 236,234
  4. Step 4: Simplify right side
    115,262x = 55,806,502,756
  5. Step 5: Solve for x
    x = 55,806,502,756/115,262
  6. Step 6: Final answer
    x = 484,170.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.