Finding the Third Proportional to 224 and 354
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Solution
The third proportional to 224 and 354 is: 559.45
Step by Step Solution
- Step 1: Write the proportion equation
224 : 354 = 354 : x - Step 2: Convert to fraction form
224/354 = 354/x - Step 3: Cross multiply
224x = 354 × 354 - Step 4: Simplify right side
224x = 125,316 - Step 5: Solve for x
x = 125,316/224 - Step 6: Final answer
x = 559.45
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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.