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Finding the Third Proportional to 182,568.94 and 283,672.13

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Solution

The third proportional to 182,568.94 and 283,672.13 is: 440,764.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,568.94 : 283,672.13 = 283,672.13 : x
  2. Step 2: Convert to fraction form
    182,568.94/283,672.13 = 283,672.13/x
  3. Step 3: Cross multiply
    182,568.94x = 283,672.13 × 283,672.13
  4. Step 4: Simplify right side
    182,568.94x = 80,469,874,502.02
  5. Step 5: Solve for x
    x = 80,469,874,502.02/182,568.94
  6. Step 6: Final answer
    x = 440,764.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.