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Finding the Third Proportional to 151,011.75 and 226,505.25

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Solution

The third proportional to 151,011.75 and 226,505.25 is: 339,739.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,011.75 : 226,505.25 = 226,505.25 : x
  2. Step 2: Convert to fraction form
    151,011.75/226,505.25 = 226,505.25/x
  3. Step 3: Cross multiply
    151,011.75x = 226,505.25 × 226,505.25
  4. Step 4: Simplify right side
    151,011.75x = 51,304,628,277.56
  5. Step 5: Solve for x
    x = 51,304,628,277.56/151,011.75
  6. Step 6: Final answer
    x = 339,739.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.