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Finding the Third Proportional to 135,845.86 and 295,029.84

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Solution

The third proportional to 135,845.86 and 295,029.84 is: 640,745.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,845.86 : 295,029.84 = 295,029.84 : x
  2. Step 2: Convert to fraction form
    135,845.86/295,029.84 = 295,029.84/x
  3. Step 3: Cross multiply
    135,845.86x = 295,029.84 × 295,029.84
  4. Step 4: Simplify right side
    135,845.86x = 87,042,608,703.15
  5. Step 5: Solve for x
    x = 87,042,608,703.15/135,845.86
  6. Step 6: Final answer
    x = 640,745.39

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.