Finding the Third Proportional to 289 and 548
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Solution
The third proportional to 289 and 548 is: 1,039.11
Step by Step Solution
- Step 1: Write the proportion equation
289 : 548 = 548 : x - Step 2: Convert to fraction form
289/548 = 548/x - Step 3: Cross multiply
289x = 548 × 548 - Step 4: Simplify right side
289x = 300,304 - Step 5: Solve for x
x = 300,304/289 - Step 6: Final answer
x = 1,039.11
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These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.