Finding the Third Proportional to 342 and 896
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Solution
The third proportional to 342 and 896 is: 2,347.42
Step by Step Solution
- Step 1: Write the proportion equation
342 : 896 = 896 : x - Step 2: Convert to fraction form
342/896 = 896/x - Step 3: Cross multiply
342x = 896 × 896 - Step 4: Simplify right side
342x = 802,816 - Step 5: Solve for x
x = 802,816/342 - Step 6: Final answer
x = 2,347.42
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These problems maintain the same ratio (2.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.