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Finding the Third Proportional to 133,481.75 and 283,919.50

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Solution

The third proportional to 133,481.75 and 283,919.50 is: 603,904.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,481.75 : 283,919.50 = 283,919.50 : x
  2. Step 2: Convert to fraction form
    133,481.75/283,919.50 = 283,919.50/x
  3. Step 3: Cross multiply
    133,481.75x = 283,919.50 × 283,919.50
  4. Step 4: Simplify right side
    133,481.75x = 80,610,282,480.25
  5. Step 5: Solve for x
    x = 80,610,282,480.25/133,481.75
  6. Step 6: Final answer
    x = 603,904.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.