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Finding the Third Proportional to 131,201.44 and 196,765.88

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Solution

The third proportional to 131,201.44 and 196,765.88 is: 295,094.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,201.44 : 196,765.88 = 196,765.88 : x
  2. Step 2: Convert to fraction form
    131,201.44/196,765.88 = 196,765.88/x
  3. Step 3: Cross multiply
    131,201.44x = 196,765.88 × 196,765.88
  4. Step 4: Simplify right side
    131,201.44x = 38,716,809,564.52
  5. Step 5: Solve for x
    x = 38,716,809,564.52/131,201.44
  6. Step 6: Final answer
    x = 295,094.40

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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.