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Finding the Third Proportional to 179,243 and 275,131

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Solution

The third proportional to 179,243 and 275,131 is: 422,315.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,243 : 275,131 = 275,131 : x
  2. Step 2: Convert to fraction form
    179,243/275,131 = 275,131/x
  3. Step 3: Cross multiply
    179,243x = 275,131 × 275,131
  4. Step 4: Simplify right side
    179,243x = 75,697,067,161
  5. Step 5: Solve for x
    x = 75,697,067,161/179,243
  6. Step 6: Final answer
    x = 422,315.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.