Finding the Third Proportional to 204 and 232
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Solution
The third proportional to 204 and 232 is: 263.84
Step by Step Solution
- Step 1: Write the proportion equation
204 : 232 = 232 : x - Step 2: Convert to fraction form
204/232 = 232/x - Step 3: Cross multiply
204x = 232 × 232 - Step 4: Simplify right side
204x = 53,824 - Step 5: Solve for x
x = 53,824/204 - Step 6: Final answer
x = 263.84
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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.