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Finding the Third Proportional to 154,072 and 331,064

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Solution

The third proportional to 154,072 and 331,064 is: 711,377.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,072 : 331,064 = 331,064 : x
  2. Step 2: Convert to fraction form
    154,072/331,064 = 331,064/x
  3. Step 3: Cross multiply
    154,072x = 331,064 × 331,064
  4. Step 4: Simplify right side
    154,072x = 109,603,372,096
  5. Step 5: Solve for x
    x = 109,603,372,096/154,072
  6. Step 6: Final answer
    x = 711,377.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.