Finding the Third Proportional to 214 and 252
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Solution
The third proportional to 214 and 252 is: 296.75
Step by Step Solution
- Step 1: Write the proportion equation
214 : 252 = 252 : x - Step 2: Convert to fraction form
214/252 = 252/x - Step 3: Cross multiply
214x = 252 × 252 - Step 4: Simplify right side
214x = 63,504 - Step 5: Solve for x
x = 63,504/214 - Step 6: Final answer
x = 296.75
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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.