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Finding the Third Proportional to 150,736 and 228,064

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Solution

The third proportional to 150,736 and 228,064 is: 345,061.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,736 : 228,064 = 228,064 : x
  2. Step 2: Convert to fraction form
    150,736/228,064 = 228,064/x
  3. Step 3: Cross multiply
    150,736x = 228,064 × 228,064
  4. Step 4: Simplify right side
    150,736x = 52,013,188,096
  5. Step 5: Solve for x
    x = 52,013,188,096/150,736
  6. Step 6: Final answer
    x = 345,061.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.