Finding the Third Proportional to 286 and 378
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Solution
The third proportional to 286 and 378 is: 499.59
Step by Step Solution
- Step 1: Write the proportion equation
286 : 378 = 378 : x - Step 2: Convert to fraction form
286/378 = 378/x - Step 3: Cross multiply
286x = 378 × 378 - Step 4: Simplify right side
286x = 142,884 - Step 5: Solve for x
x = 142,884/286 - Step 6: Final answer
x = 499.59
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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.