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Finding the Third Proportional to 154,969 and 227,144

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Solution

The third proportional to 154,969 and 227,144 is: 332,933.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,969 : 227,144 = 227,144 : x
  2. Step 2: Convert to fraction form
    154,969/227,144 = 227,144/x
  3. Step 3: Cross multiply
    154,969x = 227,144 × 227,144
  4. Step 4: Simplify right side
    154,969x = 51,594,396,736
  5. Step 5: Solve for x
    x = 51,594,396,736/154,969
  6. Step 6: Final answer
    x = 332,933.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.