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Finding the Third Proportional to 263,136.94 and 410,105.53

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Solution

The third proportional to 263,136.94 and 410,105.53 is: 639,159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,136.94 : 410,105.53 = 410,105.53 : x
  2. Step 2: Convert to fraction form
    263,136.94/410,105.53 = 410,105.53/x
  3. Step 3: Cross multiply
    263,136.94x = 410,105.53 × 410,105.53
  4. Step 4: Simplify right side
    263,136.94x = 168,186,546,761.85
  5. Step 5: Solve for x
    x = 168,186,546,761.85/263,136.94
  6. Step 6: Final answer
    x = 639,159.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.