Finding the Third Proportional to 82.25 and 152
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Solution
The third proportional to 82.25 and 152 is: 280.90
Step by Step Solution
- Step 1: Write the proportion equation
82.25 : 152 = 152 : x - Step 2: Convert to fraction form
82.25/152 = 152/x - Step 3: Cross multiply
82.25x = 152 × 152 - Step 4: Simplify right side
82.25x = 23,104 - Step 5: Solve for x
x = 23,104/82.25 - Step 6: Final answer
x = 280.90
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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.