Finding the Third Proportional to 146 and 384
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Solution
The third proportional to 146 and 384 is: 1,009.97
Step by Step Solution
- Step 1: Write the proportion equation
146 : 384 = 384 : x - Step 2: Convert to fraction form
146/384 = 384/x - Step 3: Cross multiply
146x = 384 × 384 - Step 4: Simplify right side
146x = 147,456 - Step 5: Solve for x
x = 147,456/146 - Step 6: Final answer
x = 1,009.97
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These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.