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Finding the Third Proportional to 228,233 and 333,898

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Solution

The third proportional to 228,233 and 333,898 is: 488,482.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,233 : 333,898 = 333,898 : x
  2. Step 2: Convert to fraction form
    228,233/333,898 = 333,898/x
  3. Step 3: Cross multiply
    228,233x = 333,898 × 333,898
  4. Step 4: Simplify right side
    228,233x = 111,487,874,404
  5. Step 5: Solve for x
    x = 111,487,874,404/228,233
  6. Step 6: Final answer
    x = 488,482.71

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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.