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Finding the Third Proportional to 227,184 and 468,936

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Solution

The third proportional to 227,184 and 468,936 is: 967,942.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,184 : 468,936 = 468,936 : x
  2. Step 2: Convert to fraction form
    227,184/468,936 = 468,936/x
  3. Step 3: Cross multiply
    227,184x = 468,936 × 468,936
  4. Step 4: Simplify right side
    227,184x = 219,900,972,096
  5. Step 5: Solve for x
    x = 219,900,972,096/227,184
  6. Step 6: Final answer
    x = 967,942.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.