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Finding the Third Proportional to 266,099.25 and 413,163

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Solution

The third proportional to 266,099.25 and 413,163 is: 641,503.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,099.25 : 413,163 = 413,163 : x
  2. Step 2: Convert to fraction form
    266,099.25/413,163 = 413,163/x
  3. Step 3: Cross multiply
    266,099.25x = 413,163 × 413,163
  4. Step 4: Simplify right side
    266,099.25x = 170,703,664,569
  5. Step 5: Solve for x
    x = 170,703,664,569/266,099.25
  6. Step 6: Final answer
    x = 641,503.74

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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.