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Finding the Third Proportional to 180,996 and 276,192

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Solution

The third proportional to 180,996 and 276,192 is: 421,456.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,996 : 276,192 = 276,192 : x
  2. Step 2: Convert to fraction form
    180,996/276,192 = 276,192/x
  3. Step 3: Cross multiply
    180,996x = 276,192 × 276,192
  4. Step 4: Simplify right side
    180,996x = 76,282,020,864
  5. Step 5: Solve for x
    x = 76,282,020,864/180,996
  6. Step 6: Final answer
    x = 421,456.94

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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.