Finding the Third Proportional to 232 and 284
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Solution
The third proportional to 232 and 284 is: 347.66
Step by Step Solution
- Step 1: Write the proportion equation
232 : 284 = 284 : x - Step 2: Convert to fraction form
232/284 = 284/x - Step 3: Cross multiply
232x = 284 × 284 - Step 4: Simplify right side
232x = 80,656 - Step 5: Solve for x
x = 80,656/232 - Step 6: Final answer
x = 347.66
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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.