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Finding the Third Proportional to 179,968 and 255,849

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Solution

The third proportional to 179,968 and 255,849 is: 363,724.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,968 : 255,849 = 255,849 : x
  2. Step 2: Convert to fraction form
    179,968/255,849 = 255,849/x
  3. Step 3: Cross multiply
    179,968x = 255,849 × 255,849
  4. Step 4: Simplify right side
    179,968x = 65,458,710,801
  5. Step 5: Solve for x
    x = 65,458,710,801/179,968
  6. Step 6: Final answer
    x = 363,724.17

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.