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Finding the Third Proportional to 115,266 and 236,242

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Solution

The third proportional to 115,266 and 236,242 is: 484,186.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,266 : 236,242 = 236,242 : x
  2. Step 2: Convert to fraction form
    115,266/236,242 = 236,242/x
  3. Step 3: Cross multiply
    115,266x = 236,242 × 236,242
  4. Step 4: Simplify right side
    115,266x = 55,810,282,564
  5. Step 5: Solve for x
    x = 55,810,282,564/115,266
  6. Step 6: Final answer
    x = 484,186.86

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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.