Finding the Third Proportional to 110 and 268
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Solution
The third proportional to 110 and 268 is: 652.95
Step by Step Solution
- Step 1: Write the proportion equation
110 : 268 = 268 : x - Step 2: Convert to fraction form
110/268 = 268/x - Step 3: Cross multiply
110x = 268 × 268 - Step 4: Simplify right side
110x = 71,824 - Step 5: Solve for x
x = 71,824/110 - Step 6: Final answer
x = 652.95
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These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.