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Finding the Third Proportional to 110,992 and 239,722

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Solution

The third proportional to 110,992 and 239,722 is: 517,754.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,992 : 239,722 = 239,722 : x
  2. Step 2: Convert to fraction form
    110,992/239,722 = 239,722/x
  3. Step 3: Cross multiply
    110,992x = 239,722 × 239,722
  4. Step 4: Simplify right side
    110,992x = 57,466,637,284
  5. Step 5: Solve for x
    x = 57,466,637,284/110,992
  6. Step 6: Final answer
    x = 517,754.77

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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.