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Finding the Third Proportional to 115,586 and 253,204

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Solution

The third proportional to 115,586 and 253,204 is: 554,671.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,586 : 253,204 = 253,204 : x
  2. Step 2: Convert to fraction form
    115,586/253,204 = 253,204/x
  3. Step 3: Cross multiply
    115,586x = 253,204 × 253,204
  4. Step 4: Simplify right side
    115,586x = 64,112,265,616
  5. Step 5: Solve for x
    x = 64,112,265,616/115,586
  6. Step 6: Final answer
    x = 554,671.55

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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.