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Finding the Third Proportional to 154,884 and 227,790

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Solution

The third proportional to 154,884 and 227,790 is: 335,013.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,884 : 227,790 = 227,790 : x
  2. Step 2: Convert to fraction form
    154,884/227,790 = 227,790/x
  3. Step 3: Cross multiply
    154,884x = 227,790 × 227,790
  4. Step 4: Simplify right side
    154,884x = 51,888,284,100
  5. Step 5: Solve for x
    x = 51,888,284,100/154,884
  6. Step 6: Final answer
    x = 335,013.84

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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.