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Finding the Third Proportional to 133,251.75 and 281,468.25

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Solution

The third proportional to 133,251.75 and 281,468.25 is: 594,546.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,251.75 : 281,468.25 = 281,468.25 : x
  2. Step 2: Convert to fraction form
    133,251.75/281,468.25 = 281,468.25/x
  3. Step 3: Cross multiply
    133,251.75x = 281,468.25 × 281,468.25
  4. Step 4: Simplify right side
    133,251.75x = 79,224,375,758.06
  5. Step 5: Solve for x
    x = 79,224,375,758.06/133,251.75
  6. Step 6: Final answer
    x = 594,546.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.