Finding the Third Proportional to 108 and 292.50
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Solution
The third proportional to 108 and 292.50 is: 792.19
Step by Step Solution
- Step 1: Write the proportion equation
108 : 292.50 = 292.50 : x - Step 2: Convert to fraction form
108/292.50 = 292.50/x - Step 3: Cross multiply
108x = 292.50 × 292.50 - Step 4: Simplify right side
108x = 85,556.25 - Step 5: Solve for x
x = 85,556.25/108 - Step 6: Final answer
x = 792.19
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Why These Related Problems?
These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.