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Finding the Third Proportional to 228,227 and 333,888

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Solution

The third proportional to 228,227 and 333,888 is: 488,466.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,227 : 333,888 = 333,888 : x
  2. Step 2: Convert to fraction form
    228,227/333,888 = 333,888/x
  3. Step 3: Cross multiply
    228,227x = 333,888 × 333,888
  4. Step 4: Simplify right side
    228,227x = 111,481,196,544
  5. Step 5: Solve for x
    x = 111,481,196,544/228,227
  6. Step 6: Final answer
    x = 488,466.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.