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Finding the Third Proportional to 236,954.25 and 511,836.75

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Solution

The third proportional to 236,954.25 and 511,836.75 is: 1,105,601.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,954.25 : 511,836.75 = 511,836.75 : x
  2. Step 2: Convert to fraction form
    236,954.25/511,836.75 = 511,836.75/x
  3. Step 3: Cross multiply
    236,954.25x = 511,836.75 × 511,836.75
  4. Step 4: Simplify right side
    236,954.25x = 261,976,858,650.56
  5. Step 5: Solve for x
    x = 261,976,858,650.56/236,954.25
  6. Step 6: Final answer
    x = 1,105,601.01

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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.