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Finding the Third Proportional to 143,205.75 and 298,176.75

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Solution

The third proportional to 143,205.75 and 298,176.75 is: 620,850.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,205.75 : 298,176.75 = 298,176.75 : x
  2. Step 2: Convert to fraction form
    143,205.75/298,176.75 = 298,176.75/x
  3. Step 3: Cross multiply
    143,205.75x = 298,176.75 × 298,176.75
  4. Step 4: Simplify right side
    143,205.75x = 88,909,374,240.56
  5. Step 5: Solve for x
    x = 88,909,374,240.56/143,205.75
  6. Step 6: Final answer
    x = 620,850.59

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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.