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Finding the Third Proportional to 205,067 and 439,294

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Solution

The third proportional to 205,067 and 439,294 is: 941,054.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,067 : 439,294 = 439,294 : x
  2. Step 2: Convert to fraction form
    205,067/439,294 = 439,294/x
  3. Step 3: Cross multiply
    205,067x = 439,294 × 439,294
  4. Step 4: Simplify right side
    205,067x = 192,979,218,436
  5. Step 5: Solve for x
    x = 192,979,218,436/205,067
  6. Step 6: Final answer
    x = 941,054.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.