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Finding the Third Proportional to 175,682 and 265,067

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Solution

The third proportional to 175,682 and 265,067 is: 399,930.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,682 : 265,067 = 265,067 : x
  2. Step 2: Convert to fraction form
    175,682/265,067 = 265,067/x
  3. Step 3: Cross multiply
    175,682x = 265,067 × 265,067
  4. Step 4: Simplify right side
    175,682x = 70,260,514,489
  5. Step 5: Solve for x
    x = 70,260,514,489/175,682
  6. Step 6: Final answer
    x = 399,930.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.