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Finding the Third Proportional to 228,938 and 350,211

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Solution

The third proportional to 228,938 and 350,211 is: 535,724.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,938 : 350,211 = 350,211 : x
  2. Step 2: Convert to fraction form
    228,938/350,211 = 350,211/x
  3. Step 3: Cross multiply
    228,938x = 350,211 × 350,211
  4. Step 4: Simplify right side
    228,938x = 122,647,744,521
  5. Step 5: Solve for x
    x = 122,647,744,521/228,938
  6. Step 6: Final answer
    x = 535,724.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.