Finding the Third Proportional to 232 and 412
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Solution
The third proportional to 232 and 412 is: 731.66
Step by Step Solution
- Step 1: Write the proportion equation
232 : 412 = 412 : x - Step 2: Convert to fraction form
232/412 = 412/x - Step 3: Cross multiply
232x = 412 × 412 - Step 4: Simplify right side
232x = 169,744 - Step 5: Solve for x
x = 169,744/232 - Step 6: Final answer
x = 731.66
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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.