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Finding the Third Proportional to 205,904 and 319,103

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Solution

The third proportional to 205,904 and 319,103 is: 494,534.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,904 : 319,103 = 319,103 : x
  2. Step 2: Convert to fraction form
    205,904/319,103 = 319,103/x
  3. Step 3: Cross multiply
    205,904x = 319,103 × 319,103
  4. Step 4: Simplify right side
    205,904x = 101,826,724,609
  5. Step 5: Solve for x
    x = 101,826,724,609/205,904
  6. Step 6: Final answer
    x = 494,534.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.