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Finding the Third Proportional to 181,744 and 275,886

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Solution

The third proportional to 181,744 and 275,886 is: 418,792.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,744 : 275,886 = 275,886 : x
  2. Step 2: Convert to fraction form
    181,744/275,886 = 275,886/x
  3. Step 3: Cross multiply
    181,744x = 275,886 × 275,886
  4. Step 4: Simplify right side
    181,744x = 76,113,084,996
  5. Step 5: Solve for x
    x = 76,113,084,996/181,744
  6. Step 6: Final answer
    x = 418,792.83

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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.