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Finding the Third Proportional to 133,791.75 and 280,720.27

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Solution

The third proportional to 133,791.75 and 280,720.27 is: 589,003.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,791.75 : 280,720.27 = 280,720.27 : x
  2. Step 2: Convert to fraction form
    133,791.75/280,720.27 = 280,720.27/x
  3. Step 3: Cross multiply
    133,791.75x = 280,720.27 × 280,720.27
  4. Step 4: Simplify right side
    133,791.75x = 78,803,867,532.57
  5. Step 5: Solve for x
    x = 78,803,867,532.57/133,791.75
  6. Step 6: Final answer
    x = 589,003.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.