Finding the Third Proportional to 224 and 378
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Solution
The third proportional to 224 and 378 is: 637.88
Step by Step Solution
- Step 1: Write the proportion equation
224 : 378 = 378 : x - Step 2: Convert to fraction form
224/378 = 378/x - Step 3: Cross multiply
224x = 378 × 378 - Step 4: Simplify right side
224x = 142,884 - Step 5: Solve for x
x = 142,884/224 - Step 6: Final answer
x = 637.88
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These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.