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Finding the Third Proportional to 116,940 and 257,204

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Solution

The third proportional to 116,940 and 257,204 is: 565,708.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,940 : 257,204 = 257,204 : x
  2. Step 2: Convert to fraction form
    116,940/257,204 = 257,204/x
  3. Step 3: Cross multiply
    116,940x = 257,204 × 257,204
  4. Step 4: Simplify right side
    116,940x = 66,153,897,616
  5. Step 5: Solve for x
    x = 66,153,897,616/116,940
  6. Step 6: Final answer
    x = 565,708.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.