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Finding the Third Proportional to 116,991 and 180,999

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Solution

The third proportional to 116,991 and 180,999 is: 280,026.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,991 : 180,999 = 180,999 : x
  2. Step 2: Convert to fraction form
    116,991/180,999 = 180,999/x
  3. Step 3: Cross multiply
    116,991x = 180,999 × 180,999
  4. Step 4: Simplify right side
    116,991x = 32,760,638,001
  5. Step 5: Solve for x
    x = 32,760,638,001/116,991
  6. Step 6: Final answer
    x = 280,026.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.