Finding the Third Proportional to 242.50 and 277.75
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Solution
The third proportional to 242.50 and 277.75 is: 318.12
Step by Step Solution
- Step 1: Write the proportion equation
242.50 : 277.75 = 277.75 : x - Step 2: Convert to fraction form
242.50/277.75 = 277.75/x - Step 3: Cross multiply
242.50x = 277.75 × 277.75 - Step 4: Simplify right side
242.50x = 77,145.06 - Step 5: Solve for x
x = 77,145.06/242.50 - Step 6: Final answer
x = 318.12
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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.