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Finding the Third Proportional to 109,344 and 236,822

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Solution

The third proportional to 109,344 and 236,822 is: 512,919.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,344 : 236,822 = 236,822 : x
  2. Step 2: Convert to fraction form
    109,344/236,822 = 236,822/x
  3. Step 3: Cross multiply
    109,344x = 236,822 × 236,822
  4. Step 4: Simplify right side
    109,344x = 56,084,659,684
  5. Step 5: Solve for x
    x = 56,084,659,684/109,344
  6. Step 6: Final answer
    x = 512,919.41

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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.