Finding the Third Proportional to 183 and 217
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Solution
The third proportional to 183 and 217 is: 257.32
Step by Step Solution
- Step 1: Write the proportion equation
183 : 217 = 217 : x - Step 2: Convert to fraction form
183/217 = 217/x - Step 3: Cross multiply
183x = 217 × 217 - Step 4: Simplify right side
183x = 47,089 - Step 5: Solve for x
x = 47,089/183 - Step 6: Final answer
x = 257.32
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Why These Related Problems?
These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.