Finding the Third Proportional to 200 and 434
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Solution
The third proportional to 200 and 434 is: 941.78
Step by Step Solution
- Step 1: Write the proportion equation
200 : 434 = 434 : x - Step 2: Convert to fraction form
200/434 = 434/x - Step 3: Cross multiply
200x = 434 × 434 - Step 4: Simplify right side
200x = 188,356 - Step 5: Solve for x
x = 188,356/200 - Step 6: Final answer
x = 941.78
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.