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Finding the Third Proportional to 160,968.75 and 218,616.75

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Solution

The third proportional to 160,968.75 and 218,616.75 is: 296,910.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,968.75 : 218,616.75 = 218,616.75 : x
  2. Step 2: Convert to fraction form
    160,968.75/218,616.75 = 218,616.75/x
  3. Step 3: Cross multiply
    160,968.75x = 218,616.75 × 218,616.75
  4. Step 4: Simplify right side
    160,968.75x = 47,793,283,380.56
  5. Step 5: Solve for x
    x = 47,793,283,380.56/160,968.75
  6. Step 6: Final answer
    x = 296,910.32

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.