Finding the Third Proportional to 283.22 and 378.03
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Solution
The third proportional to 283.22 and 378.03 is: 504.56
Step by Step Solution
- Step 1: Write the proportion equation
283.22 : 378.03 = 378.03 : x - Step 2: Convert to fraction form
283.22/378.03 = 378.03/x - Step 3: Cross multiply
283.22x = 378.03 × 378.03 - Step 4: Simplify right side
283.22x = 142,903.93 - Step 5: Solve for x
x = 142,903.93/283.22 - Step 6: Final answer
x = 504.56
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.