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Finding the Third Proportional to 111,954.66 and 234,297.56

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Solution

The third proportional to 111,954.66 and 234,297.56 is: 490,335.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,954.66 : 234,297.56 = 234,297.56 : x
  2. Step 2: Convert to fraction form
    111,954.66/234,297.56 = 234,297.56/x
  3. Step 3: Cross multiply
    111,954.66x = 234,297.56 × 234,297.56
  4. Step 4: Simplify right side
    111,954.66x = 54,895,347,793.44
  5. Step 5: Solve for x
    x = 54,895,347,793.44/111,954.66
  6. Step 6: Final answer
    x = 490,335.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.