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Finding the Third Proportional to 109,838 and 237,992

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Solution

The third proportional to 109,838 and 237,992 is: 515,670.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,838 : 237,992 = 237,992 : x
  2. Step 2: Convert to fraction form
    109,838/237,992 = 237,992/x
  3. Step 3: Cross multiply
    109,838x = 237,992 × 237,992
  4. Step 4: Simplify right side
    109,838x = 56,640,192,064
  5. Step 5: Solve for x
    x = 56,640,192,064/109,838
  6. Step 6: Final answer
    x = 515,670.28

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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.