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Finding the Third Proportional to 127,660.50 and 298,185.75

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Solution

The third proportional to 127,660.50 and 298,185.75 is: 696,493.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,660.50 : 298,185.75 = 298,185.75 : x
  2. Step 2: Convert to fraction form
    127,660.50/298,185.75 = 298,185.75/x
  3. Step 3: Cross multiply
    127,660.50x = 298,185.75 × 298,185.75
  4. Step 4: Simplify right side
    127,660.50x = 88,914,741,503.06
  5. Step 5: Solve for x
    x = 88,914,741,503.06/127,660.50
  6. Step 6: Final answer
    x = 696,493.76

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.