Finding the Third Proportional to 126 and 279.75
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Solution
The third proportional to 126 and 279.75 is: 621.11
Step by Step Solution
- Step 1: Write the proportion equation
126 : 279.75 = 279.75 : x - Step 2: Convert to fraction form
126/279.75 = 279.75/x - Step 3: Cross multiply
126x = 279.75 × 279.75 - Step 4: Simplify right side
126x = 78,260.06 - Step 5: Solve for x
x = 78,260.06/126 - Step 6: Final answer
x = 621.11
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.