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Finding the Third Proportional to 115,264 and 236,238

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Solution

The third proportional to 115,264 and 236,238 is: 484,178.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,264 : 236,238 = 236,238 : x
  2. Step 2: Convert to fraction form
    115,264/236,238 = 236,238/x
  3. Step 3: Cross multiply
    115,264x = 236,238 × 236,238
  4. Step 4: Simplify right side
    115,264x = 55,808,392,644
  5. Step 5: Solve for x
    x = 55,808,392,644/115,264
  6. Step 6: Final answer
    x = 484,178.86

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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.