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Finding the Third Proportional to 181,760 and 275,906

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Solution

The third proportional to 181,760 and 275,906 is: 418,816.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,760 : 275,906 = 275,906 : x
  2. Step 2: Convert to fraction form
    181,760/275,906 = 275,906/x
  3. Step 3: Cross multiply
    181,760x = 275,906 × 275,906
  4. Step 4: Simplify right side
    181,760x = 76,124,120,836
  5. Step 5: Solve for x
    x = 76,124,120,836/181,760
  6. Step 6: Final answer
    x = 418,816.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.