Finding the Third Proportional to 273 and 281
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Solution
The third proportional to 273 and 281 is: 289.23
Step by Step Solution
- Step 1: Write the proportion equation
273 : 281 = 281 : x - Step 2: Convert to fraction form
273/281 = 281/x - Step 3: Cross multiply
273x = 281 × 281 - Step 4: Simplify right side
273x = 78,961 - Step 5: Solve for x
x = 78,961/273 - Step 6: Final answer
x = 289.23
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These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.