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Finding the Third Proportional to 135,608.25 and 283,609.50

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Solution

The third proportional to 135,608.25 and 283,609.50 is: 593,137.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,608.25 : 283,609.50 = 283,609.50 : x
  2. Step 2: Convert to fraction form
    135,608.25/283,609.50 = 283,609.50/x
  3. Step 3: Cross multiply
    135,608.25x = 283,609.50 × 283,609.50
  4. Step 4: Simplify right side
    135,608.25x = 80,434,348,490.25
  5. Step 5: Solve for x
    x = 80,434,348,490.25/135,608.25
  6. Step 6: Final answer
    x = 593,137.57

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.