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Finding the Third Proportional to 133,500 and 289,824

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Solution

The third proportional to 133,500 and 289,824 is: 629,198.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,500 : 289,824 = 289,824 : x
  2. Step 2: Convert to fraction form
    133,500/289,824 = 289,824/x
  3. Step 3: Cross multiply
    133,500x = 289,824 × 289,824
  4. Step 4: Simplify right side
    133,500x = 83,997,950,976
  5. Step 5: Solve for x
    x = 83,997,950,976/133,500
  6. Step 6: Final answer
    x = 629,198.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.