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Finding the Third Proportional to 154,969 and 227,143

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Solution

The third proportional to 154,969 and 227,143 is: 332,930.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,969 : 227,143 = 227,143 : x
  2. Step 2: Convert to fraction form
    154,969/227,143 = 227,143/x
  3. Step 3: Cross multiply
    154,969x = 227,143 × 227,143
  4. Step 4: Simplify right side
    154,969x = 51,593,942,449
  5. Step 5: Solve for x
    x = 51,593,942,449/154,969
  6. Step 6: Final answer
    x = 332,930.73

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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.