Finding the Third Proportional to 244 and 289
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Solution
The third proportional to 244 and 289 is: 342.30
Step by Step Solution
- Step 1: Write the proportion equation
244 : 289 = 289 : x - Step 2: Convert to fraction form
244/289 = 289/x - Step 3: Cross multiply
244x = 289 × 289 - Step 4: Simplify right side
244x = 83,521 - Step 5: Solve for x
x = 83,521/244 - Step 6: Final answer
x = 342.30
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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.