Finding the Third Proportional to 224 and 326
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Solution
The third proportional to 224 and 326 is: 474.45
Step by Step Solution
- Step 1: Write the proportion equation
224 : 326 = 326 : x - Step 2: Convert to fraction form
224/326 = 326/x - Step 3: Cross multiply
224x = 326 × 326 - Step 4: Simplify right side
224x = 106,276 - Step 5: Solve for x
x = 106,276/224 - Step 6: Final answer
x = 474.45
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.