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Finding the Third Proportional to 109,084 and 236,384

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Solution

The third proportional to 109,084 and 236,384 is: 512,241.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,084 : 236,384 = 236,384 : x
  2. Step 2: Convert to fraction form
    109,084/236,384 = 236,384/x
  3. Step 3: Cross multiply
    109,084x = 236,384 × 236,384
  4. Step 4: Simplify right side
    109,084x = 55,877,395,456
  5. Step 5: Solve for x
    x = 55,877,395,456/109,084
  6. Step 6: Final answer
    x = 512,241.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.