Finding the Third Proportional to 232 and 283.50
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Solution
The third proportional to 232 and 283.50 is: 346.43
Step by Step Solution
- Step 1: Write the proportion equation
232 : 283.50 = 283.50 : x - Step 2: Convert to fraction form
232/283.50 = 283.50/x - Step 3: Cross multiply
232x = 283.50 × 283.50 - Step 4: Simplify right side
232x = 80,372.25 - Step 5: Solve for x
x = 80,372.25/232 - Step 6: Final answer
x = 346.43
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Why These Related Problems?
These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.