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Finding the Third Proportional to 116,793 and 180,443.25

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Solution

The third proportional to 116,793 and 180,443.25 is: 278,781.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,793 : 180,443.25 = 180,443.25 : x
  2. Step 2: Convert to fraction form
    116,793/180,443.25 = 180,443.25/x
  3. Step 3: Cross multiply
    116,793x = 180,443.25 × 180,443.25
  4. Step 4: Simplify right side
    116,793x = 32,559,766,470.56
  5. Step 5: Solve for x
    x = 32,559,766,470.56/116,793
  6. Step 6: Final answer
    x = 278,781.83

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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.