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Finding the Third Proportional to 181,560 and 279,996

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Solution

The third proportional to 181,560 and 279,996 is: 431,800.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,560 : 279,996 = 279,996 : x
  2. Step 2: Convert to fraction form
    181,560/279,996 = 279,996/x
  3. Step 3: Cross multiply
    181,560x = 279,996 × 279,996
  4. Step 4: Simplify right side
    181,560x = 78,397,760,016
  5. Step 5: Solve for x
    x = 78,397,760,016/181,560
  6. Step 6: Final answer
    x = 431,800.84

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.