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Finding the Third Proportional to 109,269 and 234,531

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Solution

The third proportional to 109,269 and 234,531 is: 503,388.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,269 : 234,531 = 234,531 : x
  2. Step 2: Convert to fraction form
    109,269/234,531 = 234,531/x
  3. Step 3: Cross multiply
    109,269x = 234,531 × 234,531
  4. Step 4: Simplify right side
    109,269x = 55,004,789,961
  5. Step 5: Solve for x
    x = 55,004,789,961/109,269
  6. Step 6: Final answer
    x = 503,388.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.