Finding the Third Proportional to 122,144 and 264,224
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Solution
The third proportional to 122,144 and 264,224 is: 571,573.90
Step by Step Solution
- Step 1: Write the proportion equation
122,144 : 264,224 = 264,224 : x - Step 2: Convert to fraction form
122,144/264,224 = 264,224/x - Step 3: Cross multiply
122,144x = 264,224 × 264,224 - Step 4: Simplify right side
122,144x = 69,814,322,176 - Step 5: Solve for x
x = 69,814,322,176/122,144 - Step 6: Final answer
x = 571,573.90
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.