Finding the Third Proportional to 282 and 303
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Solution
The third proportional to 282 and 303 is: 325.56
Step by Step Solution
- Step 1: Write the proportion equation
282 : 303 = 303 : x - Step 2: Convert to fraction form
282/303 = 303/x - Step 3: Cross multiply
282x = 303 × 303 - Step 4: Simplify right side
282x = 91,809 - Step 5: Solve for x
x = 91,809/282 - Step 6: Final answer
x = 325.56
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These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.