Finding the Third Proportional to 214 and 396
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Solution
The third proportional to 214 and 396 is: 732.79
Step by Step Solution
- Step 1: Write the proportion equation
214 : 396 = 396 : x - Step 2: Convert to fraction form
214/396 = 396/x - Step 3: Cross multiply
214x = 396 × 396 - Step 4: Simplify right side
214x = 156,816 - Step 5: Solve for x
x = 156,816/214 - Step 6: Final answer
x = 732.79
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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.