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Finding the Third Proportional to 154,888 and 227,794

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Solution

The third proportional to 154,888 and 227,794 is: 335,016.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,888 : 227,794 = 227,794 : x
  2. Step 2: Convert to fraction form
    154,888/227,794 = 227,794/x
  3. Step 3: Cross multiply
    154,888x = 227,794 × 227,794
  4. Step 4: Simplify right side
    154,888x = 51,890,106,436
  5. Step 5: Solve for x
    x = 51,890,106,436/154,888
  6. Step 6: Final answer
    x = 335,016.96

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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.