Finding the Third Proportional to 233 and 494.50
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Solution
The third proportional to 233 and 494.50 is: 1,049.49
Step by Step Solution
- Step 1: Write the proportion equation
233 : 494.50 = 494.50 : x - Step 2: Convert to fraction form
233/494.50 = 494.50/x - Step 3: Cross multiply
233x = 494.50 × 494.50 - Step 4: Simplify right side
233x = 244,530.25 - Step 5: Solve for x
x = 244,530.25/233 - Step 6: Final answer
x = 1,049.49
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.