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Finding the Third Proportional to 111,456 and 233,928

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Solution

The third proportional to 111,456 and 233,928 is: 490,976.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,456 : 233,928 = 233,928 : x
  2. Step 2: Convert to fraction form
    111,456/233,928 = 233,928/x
  3. Step 3: Cross multiply
    111,456x = 233,928 × 233,928
  4. Step 4: Simplify right side
    111,456x = 54,722,309,184
  5. Step 5: Solve for x
    x = 54,722,309,184/111,456
  6. Step 6: Final answer
    x = 490,976.79

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.