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Finding the Third Proportional to 268,095 and 395,901

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Solution

The third proportional to 268,095 and 395,901 is: 584,634.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,095 : 395,901 = 395,901 : x
  2. Step 2: Convert to fraction form
    268,095/395,901 = 395,901/x
  3. Step 3: Cross multiply
    268,095x = 395,901 × 395,901
  4. Step 4: Simplify right side
    268,095x = 156,737,601,801
  5. Step 5: Solve for x
    x = 156,737,601,801/268,095
  6. Step 6: Final answer
    x = 584,634.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.