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Finding the Third Proportional to 133,067 and 287,455

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Solution

The third proportional to 133,067 and 287,455 is: 620,968.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,067 : 287,455 = 287,455 : x
  2. Step 2: Convert to fraction form
    133,067/287,455 = 287,455/x
  3. Step 3: Cross multiply
    133,067x = 287,455 × 287,455
  4. Step 4: Simplify right side
    133,067x = 82,630,377,025
  5. Step 5: Solve for x
    x = 82,630,377,025/133,067
  6. Step 6: Final answer
    x = 620,968.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.