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Finding the Third Proportional to 131,151.75 and 235,313.25

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Solution

The third proportional to 131,151.75 and 235,313.25 is: 422,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,151.75 : 235,313.25 = 235,313.25 : x
  2. Step 2: Convert to fraction form
    131,151.75/235,313.25 = 235,313.25/x
  3. Step 3: Cross multiply
    131,151.75x = 235,313.25 × 235,313.25
  4. Step 4: Simplify right side
    131,151.75x = 55,372,325,625.56
  5. Step 5: Solve for x
    x = 55,372,325,625.56/131,151.75
  6. Step 6: Final answer
    x = 422,200.43

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.