Finding the Third Proportional to 118.13 and 280.13
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Solution
The third proportional to 118.13 and 280.13 is: 664.30
Step by Step Solution
- Step 1: Write the proportion equation
118.13 : 280.13 = 280.13 : x - Step 2: Convert to fraction form
118.13/280.13 = 280.13/x - Step 3: Cross multiply
118.13x = 280.13 × 280.13 - Step 4: Simplify right side
118.13x = 78,470.02 - Step 5: Solve for x
x = 78,470.02/118.13 - Step 6: Final answer
x = 664.30
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Why These Related Problems?
These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.