Finding the Third Proportional to 232 and 254
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Solution
The third proportional to 232 and 254 is: 278.09
Step by Step Solution
- Step 1: Write the proportion equation
232 : 254 = 254 : x - Step 2: Convert to fraction form
232/254 = 254/x - Step 3: Cross multiply
232x = 254 × 254 - Step 4: Simplify right side
232x = 64,516 - Step 5: Solve for x
x = 64,516/232 - Step 6: Final answer
x = 278.09
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Why These Related Problems?
These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.