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Finding the Third Proportional to 133,404 and 281,816

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Solution

The third proportional to 133,404 and 281,816 is: 595,336.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,404 : 281,816 = 281,816 : x
  2. Step 2: Convert to fraction form
    133,404/281,816 = 281,816/x
  3. Step 3: Cross multiply
    133,404x = 281,816 × 281,816
  4. Step 4: Simplify right side
    133,404x = 79,420,257,856
  5. Step 5: Solve for x
    x = 79,420,257,856/133,404
  6. Step 6: Final answer
    x = 595,336.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.