Finding the Third Proportional to 214 and 326
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Solution
The third proportional to 214 and 326 is: 496.62
Step by Step Solution
- Step 1: Write the proportion equation
214 : 326 = 326 : x - Step 2: Convert to fraction form
214/326 = 326/x - Step 3: Cross multiply
214x = 326 × 326 - Step 4: Simplify right side
214x = 106,276 - Step 5: Solve for x
x = 106,276/214 - Step 6: Final answer
x = 496.62
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.