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Finding the Third Proportional to 133,067 and 288,738

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Solution

The third proportional to 133,067 and 288,738 is: 626,523.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,067 : 288,738 = 288,738 : x
  2. Step 2: Convert to fraction form
    133,067/288,738 = 288,738/x
  3. Step 3: Cross multiply
    133,067x = 288,738 × 288,738
  4. Step 4: Simplify right side
    133,067x = 83,369,632,644
  5. Step 5: Solve for x
    x = 83,369,632,644/133,067
  6. Step 6: Final answer
    x = 626,523.73

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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.