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Finding the Third Proportional to 114,106 and 236,204

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Solution

The third proportional to 114,106 and 236,204 is: 488,951.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,106 : 236,204 = 236,204 : x
  2. Step 2: Convert to fraction form
    114,106/236,204 = 236,204/x
  3. Step 3: Cross multiply
    114,106x = 236,204 × 236,204
  4. Step 4: Simplify right side
    114,106x = 55,792,329,616
  5. Step 5: Solve for x
    x = 55,792,329,616/114,106
  6. Step 6: Final answer
    x = 488,951.76

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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.