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Finding the Third Proportional to 150,190 and 209,976

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Solution

The third proportional to 150,190 and 209,976 is: 293,560.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,190 : 209,976 = 209,976 : x
  2. Step 2: Convert to fraction form
    150,190/209,976 = 209,976/x
  3. Step 3: Cross multiply
    150,190x = 209,976 × 209,976
  4. Step 4: Simplify right side
    150,190x = 44,089,920,576
  5. Step 5: Solve for x
    x = 44,089,920,576/150,190
  6. Step 6: Final answer
    x = 293,560.96

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.