Finding the Third Proportional to 119 and 233
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Solution
The third proportional to 119 and 233 is: 456.21
Step by Step Solution
- Step 1: Write the proportion equation
119 : 233 = 233 : x - Step 2: Convert to fraction form
119/233 = 233/x - Step 3: Cross multiply
119x = 233 × 233 - Step 4: Simplify right side
119x = 54,289 - Step 5: Solve for x
x = 54,289/119 - Step 6: Final answer
x = 456.21
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These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.