Finding the Third Proportional to 308 and 492.75
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Solution
The third proportional to 308 and 492.75 is: 788.32
Step by Step Solution
- Step 1: Write the proportion equation
308 : 492.75 = 492.75 : x - Step 2: Convert to fraction form
308/492.75 = 492.75/x - Step 3: Cross multiply
308x = 492.75 × 492.75 - Step 4: Simplify right side
308x = 242,802.56 - Step 5: Solve for x
x = 242,802.56/308 - Step 6: Final answer
x = 788.32
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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.