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Finding the Third Proportional to 222,767 and 480,177

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Solution

The third proportional to 222,767 and 480,177 is: 1,035,027.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,767 : 480,177 = 480,177 : x
  2. Step 2: Convert to fraction form
    222,767/480,177 = 480,177/x
  3. Step 3: Cross multiply
    222,767x = 480,177 × 480,177
  4. Step 4: Simplify right side
    222,767x = 230,569,951,329
  5. Step 5: Solve for x
    x = 230,569,951,329/222,767
  6. Step 6: Final answer
    x = 1,035,027.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.