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Finding the Third Proportional to 110,879 and 238,362

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Solution

The third proportional to 110,879 and 238,362 is: 512,418.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,879 : 238,362 = 238,362 : x
  2. Step 2: Convert to fraction form
    110,879/238,362 = 238,362/x
  3. Step 3: Cross multiply
    110,879x = 238,362 × 238,362
  4. Step 4: Simplify right side
    110,879x = 56,816,443,044
  5. Step 5: Solve for x
    x = 56,816,443,044/110,879
  6. Step 6: Final answer
    x = 512,418.43

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