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Finding the Third Proportional to 205,562 and 438,268

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Solution

The third proportional to 205,562 and 438,268 is: 934,408.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,562 : 438,268 = 438,268 : x
  2. Step 2: Convert to fraction form
    205,562/438,268 = 438,268/x
  3. Step 3: Cross multiply
    205,562x = 438,268 × 438,268
  4. Step 4: Simplify right side
    205,562x = 192,078,839,824
  5. Step 5: Solve for x
    x = 192,078,839,824/205,562
  6. Step 6: Final answer
    x = 934,408.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.