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Finding the Third Proportional to 112,471 and 239,845

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Solution

The third proportional to 112,471 and 239,845 is: 511,470.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,471 : 239,845 = 239,845 : x
  2. Step 2: Convert to fraction form
    112,471/239,845 = 239,845/x
  3. Step 3: Cross multiply
    112,471x = 239,845 × 239,845
  4. Step 4: Simplify right side
    112,471x = 57,525,624,025
  5. Step 5: Solve for x
    x = 57,525,624,025/112,471
  6. Step 6: Final answer
    x = 511,470.73

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.