Finding the Third Proportional to 186 and 208.50
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Solution
The third proportional to 186 and 208.50 is: 233.72
Step by Step Solution
- Step 1: Write the proportion equation
186 : 208.50 = 208.50 : x - Step 2: Convert to fraction form
186/208.50 = 208.50/x - Step 3: Cross multiply
186x = 208.50 × 208.50 - Step 4: Simplify right side
186x = 43,472.25 - Step 5: Solve for x
x = 43,472.25/186 - Step 6: Final answer
x = 233.72
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These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.