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Finding the Third Proportional to 133,991 and 279,008

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Solution

The third proportional to 133,991 and 279,008 is: 580,975.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,991 : 279,008 = 279,008 : x
  2. Step 2: Convert to fraction form
    133,991/279,008 = 279,008/x
  3. Step 3: Cross multiply
    133,991x = 279,008 × 279,008
  4. Step 4: Simplify right side
    133,991x = 77,845,464,064
  5. Step 5: Solve for x
    x = 77,845,464,064/133,991
  6. Step 6: Final answer
    x = 580,975.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.