Finding the Third Proportional to 224 and 283.50
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Solution
The third proportional to 224 and 283.50 is: 358.80
Step by Step Solution
- Step 1: Write the proportion equation
224 : 283.50 = 283.50 : x - Step 2: Convert to fraction form
224/283.50 = 283.50/x - Step 3: Cross multiply
224x = 283.50 × 283.50 - Step 4: Simplify right side
224x = 80,372.25 - Step 5: Solve for x
x = 80,372.25/224 - Step 6: Final answer
x = 358.80
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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.