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Finding the Third Proportional to 226,833.75 and 335,076.75

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Solution

The third proportional to 226,833.75 and 335,076.75 is: 494,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,833.75 : 335,076.75 = 335,076.75 : x
  2. Step 2: Convert to fraction form
    226,833.75/335,076.75 = 335,076.75/x
  3. Step 3: Cross multiply
    226,833.75x = 335,076.75 × 335,076.75
  4. Step 4: Simplify right side
    226,833.75x = 112,276,428,390.56
  5. Step 5: Solve for x
    x = 112,276,428,390.56/226,833.75
  6. Step 6: Final answer
    x = 494,972.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.