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Finding the Third Proportional to 115,108 and 253,384

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Solution

The third proportional to 115,108 and 253,384 is: 557,767.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,108 : 253,384 = 253,384 : x
  2. Step 2: Convert to fraction form
    115,108/253,384 = 253,384/x
  3. Step 3: Cross multiply
    115,108x = 253,384 × 253,384
  4. Step 4: Simplify right side
    115,108x = 64,203,451,456
  5. Step 5: Solve for x
    x = 64,203,451,456/115,108
  6. Step 6: Final answer
    x = 557,767.07

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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.