Finding the Third Proportional to 214 and 514.50
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Solution
The third proportional to 214 and 514.50 is: 1,236.96
Step by Step Solution
- Step 1: Write the proportion equation
214 : 514.50 = 514.50 : x - Step 2: Convert to fraction form
214/514.50 = 514.50/x - Step 3: Cross multiply
214x = 514.50 × 514.50 - Step 4: Simplify right side
214x = 264,710.25 - Step 5: Solve for x
x = 264,710.25/214 - Step 6: Final answer
x = 1,236.96
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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.