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Finding the Third Proportional to 181,304 and 275,956

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Solution

The third proportional to 181,304 and 275,956 is: 420,022.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,304 : 275,956 = 275,956 : x
  2. Step 2: Convert to fraction form
    181,304/275,956 = 275,956/x
  3. Step 3: Cross multiply
    181,304x = 275,956 × 275,956
  4. Step 4: Simplify right side
    181,304x = 76,151,713,936
  5. Step 5: Solve for x
    x = 76,151,713,936/181,304
  6. Step 6: Final answer
    x = 420,022.25

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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.