Finding the Third Proportional to 120,770 and 256,156
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Solution
The third proportional to 120,770 and 256,156 is: 543,312.88
Step by Step Solution
- Step 1: Write the proportion equation
120,770 : 256,156 = 256,156 : x - Step 2: Convert to fraction form
120,770/256,156 = 256,156/x - Step 3: Cross multiply
120,770x = 256,156 × 256,156 - Step 4: Simplify right side
120,770x = 65,615,896,336 - Step 5: Solve for x
x = 65,615,896,336/120,770 - Step 6: Final answer
x = 543,312.88
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.