Finding the Third Proportional to 282 and 418.50
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Solution
The third proportional to 282 and 418.50 is: 621.07
Step by Step Solution
- Step 1: Write the proportion equation
282 : 418.50 = 418.50 : x - Step 2: Convert to fraction form
282/418.50 = 418.50/x - Step 3: Cross multiply
282x = 418.50 × 418.50 - Step 4: Simplify right side
282x = 175,142.25 - Step 5: Solve for x
x = 175,142.25/282 - Step 6: Final answer
x = 621.07
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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.