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Finding the Third Proportional to 226,168 and 470,936

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Solution

The third proportional to 226,168 and 470,936 is: 980,601.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,168 : 470,936 = 470,936 : x
  2. Step 2: Convert to fraction form
    226,168/470,936 = 470,936/x
  3. Step 3: Cross multiply
    226,168x = 470,936 × 470,936
  4. Step 4: Simplify right side
    226,168x = 221,780,716,096
  5. Step 5: Solve for x
    x = 221,780,716,096/226,168
  6. Step 6: Final answer
    x = 980,601.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.