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Finding the Third Proportional to 133,067 and 288,281

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Solution

The third proportional to 133,067 and 288,281 is: 624,542.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,067 : 288,281 = 288,281 : x
  2. Step 2: Convert to fraction form
    133,067/288,281 = 288,281/x
  3. Step 3: Cross multiply
    133,067x = 288,281 × 288,281
  4. Step 4: Simplify right side
    133,067x = 83,105,934,961
  5. Step 5: Solve for x
    x = 83,105,934,961/133,067
  6. Step 6: Final answer
    x = 624,542.03

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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.