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Finding the Third Proportional to 199,311.75 and 268,515

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Solution

The third proportional to 199,311.75 and 268,515 is: 361,746.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,311.75 : 268,515 = 268,515 : x
  2. Step 2: Convert to fraction form
    199,311.75/268,515 = 268,515/x
  3. Step 3: Cross multiply
    199,311.75x = 268,515 × 268,515
  4. Step 4: Simplify right side
    199,311.75x = 72,100,305,225
  5. Step 5: Solve for x
    x = 72,100,305,225/199,311.75
  6. Step 6: Final answer
    x = 361,746.39

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.