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Finding the Third Proportional to 114,108 and 236,208

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Solution

The third proportional to 114,108 and 236,208 is: 488,959.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,108 : 236,208 = 236,208 : x
  2. Step 2: Convert to fraction form
    114,108/236,208 = 236,208/x
  3. Step 3: Cross multiply
    114,108x = 236,208 × 236,208
  4. Step 4: Simplify right side
    114,108x = 55,794,219,264
  5. Step 5: Solve for x
    x = 55,794,219,264/114,108
  6. Step 6: Final answer
    x = 488,959.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.