Finding the Third Proportional to 117 and 292.50
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Solution
The third proportional to 117 and 292.50 is: 731.25
Step by Step Solution
- Step 1: Write the proportion equation
117 : 292.50 = 292.50 : x - Step 2: Convert to fraction form
117/292.50 = 292.50/x - Step 3: Cross multiply
117x = 292.50 × 292.50 - Step 4: Simplify right side
117x = 85,556.25 - Step 5: Solve for x
x = 85,556.25/117 - Step 6: Final answer
x = 731.25
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Why These Related Problems?
These problems maintain the same ratio (2.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.