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Finding the Third Proportional to 131,364.25 and 273,212.25

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Solution

The third proportional to 131,364.25 and 273,212.25 is: 568,228.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,364.25 : 273,212.25 = 273,212.25 : x
  2. Step 2: Convert to fraction form
    131,364.25/273,212.25 = 273,212.25/x
  3. Step 3: Cross multiply
    131,364.25x = 273,212.25 × 273,212.25
  4. Step 4: Simplify right side
    131,364.25x = 74,644,933,550.06
  5. Step 5: Solve for x
    x = 74,644,933,550.06/131,364.25
  6. Step 6: Final answer
    x = 568,228.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.