Finding the Third Proportional to 195 and 214.50
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Solution
The third proportional to 195 and 214.50 is: 235.95
Step by Step Solution
- Step 1: Write the proportion equation
195 : 214.50 = 214.50 : x - Step 2: Convert to fraction form
195/214.50 = 214.50/x - Step 3: Cross multiply
195x = 214.50 × 214.50 - Step 4: Simplify right side
195x = 46,010.25 - Step 5: Solve for x
x = 46,010.25/195 - Step 6: Final answer
x = 235.95
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Why These Related Problems?
These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.