Finding the Third Proportional to 272.50 and 382.75
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Solution
The third proportional to 272.50 and 382.75 is: 537.61
Step by Step Solution
- Step 1: Write the proportion equation
272.50 : 382.75 = 382.75 : x - Step 2: Convert to fraction form
272.50/382.75 = 382.75/x - Step 3: Cross multiply
272.50x = 382.75 × 382.75 - Step 4: Simplify right side
272.50x = 146,497.56 - Step 5: Solve for x
x = 146,497.56/272.50 - Step 6: Final answer
x = 537.61
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.