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Finding the Third Proportional to 205,069 and 439,298

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Solution

The third proportional to 205,069 and 439,298 is: 941,062.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,069 : 439,298 = 439,298 : x
  2. Step 2: Convert to fraction form
    205,069/439,298 = 439,298/x
  3. Step 3: Cross multiply
    205,069x = 439,298 × 439,298
  4. Step 4: Simplify right side
    205,069x = 192,982,732,804
  5. Step 5: Solve for x
    x = 192,982,732,804/205,069
  6. Step 6: Final answer
    x = 941,062.44

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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.