Finding the Third Proportional to 231.75 and 317.25
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Solution
The third proportional to 231.75 and 317.25 is: 434.29
Step by Step Solution
- Step 1: Write the proportion equation
231.75 : 317.25 = 317.25 : x - Step 2: Convert to fraction form
231.75/317.25 = 317.25/x - Step 3: Cross multiply
231.75x = 317.25 × 317.25 - Step 4: Simplify right side
231.75x = 100,647.56 - Step 5: Solve for x
x = 100,647.56/231.75 - Step 6: Final answer
x = 434.29
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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.