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Finding the Third Proportional to 165,067 and 247,498

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Solution

The third proportional to 165,067 and 247,498 is: 371,093.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,067 : 247,498 = 247,498 : x
  2. Step 2: Convert to fraction form
    165,067/247,498 = 247,498/x
  3. Step 3: Cross multiply
    165,067x = 247,498 × 247,498
  4. Step 4: Simplify right side
    165,067x = 61,255,260,004
  5. Step 5: Solve for x
    x = 61,255,260,004/165,067
  6. Step 6: Final answer
    x = 371,093.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.