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Finding the Third Proportional to 131,480.44 and 283,720.22

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Solution

The third proportional to 131,480.44 and 283,720.22 is: 612,236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,480.44 : 283,720.22 = 283,720.22 : x
  2. Step 2: Convert to fraction form
    131,480.44/283,720.22 = 283,720.22/x
  3. Step 3: Cross multiply
    131,480.44x = 283,720.22 × 283,720.22
  4. Step 4: Simplify right side
    131,480.44x = 80,497,162,527.55
  5. Step 5: Solve for x
    x = 80,497,162,527.55/131,480.44
  6. Step 6: Final answer
    x = 612,236.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.