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Finding the Third Proportional to 136,104.75 and 312,396.75

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Solution

The third proportional to 136,104.75 and 312,396.75 is: 717,033.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,104.75 : 312,396.75 = 312,396.75 : x
  2. Step 2: Convert to fraction form
    136,104.75/312,396.75 = 312,396.75/x
  3. Step 3: Cross multiply
    136,104.75x = 312,396.75 × 312,396.75
  4. Step 4: Simplify right side
    136,104.75x = 97,591,729,410.56
  5. Step 5: Solve for x
    x = 97,591,729,410.56/136,104.75
  6. Step 6: Final answer
    x = 717,033.97

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.