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Finding the Third Proportional to 109,376 and 235,824

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Solution

The third proportional to 109,376 and 235,824 is: 508,456.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,376 : 235,824 = 235,824 : x
  2. Step 2: Convert to fraction form
    109,376/235,824 = 235,824/x
  3. Step 3: Cross multiply
    109,376x = 235,824 × 235,824
  4. Step 4: Simplify right side
    109,376x = 55,612,958,976
  5. Step 5: Solve for x
    x = 55,612,958,976/109,376
  6. Step 6: Final answer
    x = 508,456.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.