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Finding the Third Proportional to 194,217.75 and 262,405.13

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Solution

The third proportional to 194,217.75 and 262,405.13 is: 354,532.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,217.75 : 262,405.13 = 262,405.13 : x
  2. Step 2: Convert to fraction form
    194,217.75/262,405.13 = 262,405.13/x
  3. Step 3: Cross multiply
    194,217.75x = 262,405.13 × 262,405.13
  4. Step 4: Simplify right side
    194,217.75x = 68,856,449,626.27
  5. Step 5: Solve for x
    x = 68,856,449,626.27/194,217.75
  6. Step 6: Final answer
    x = 354,532.22

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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.