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Finding the Third Proportional to 116,640 and 255,204

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Solution

The third proportional to 116,640 and 255,204 is: 558,376.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,640 : 255,204 = 255,204 : x
  2. Step 2: Convert to fraction form
    116,640/255,204 = 255,204/x
  3. Step 3: Cross multiply
    116,640x = 255,204 × 255,204
  4. Step 4: Simplify right side
    116,640x = 65,129,081,616
  5. Step 5: Solve for x
    x = 65,129,081,616/116,640
  6. Step 6: Final answer
    x = 558,376.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.