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Finding the Third Proportional to 228,923 and 350,190

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Solution

The third proportional to 228,923 and 350,190 is: 535,695.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,923 : 350,190 = 350,190 : x
  2. Step 2: Convert to fraction form
    228,923/350,190 = 350,190/x
  3. Step 3: Cross multiply
    228,923x = 350,190 × 350,190
  4. Step 4: Simplify right side
    228,923x = 122,633,036,100
  5. Step 5: Solve for x
    x = 122,633,036,100/228,923
  6. Step 6: Final answer
    x = 535,695.57

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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.