Finding the Third Proportional to 229 and 290
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Solution
The third proportional to 229 and 290 is: 367.25
Step by Step Solution
- Step 1: Write the proportion equation
229 : 290 = 290 : x - Step 2: Convert to fraction form
229/290 = 290/x - Step 3: Cross multiply
229x = 290 × 290 - Step 4: Simplify right side
229x = 84,100 - Step 5: Solve for x
x = 84,100/229 - Step 6: Final answer
x = 367.25
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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.