Finding the Third Proportional to 100 and 197.50
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Solution
The third proportional to 100 and 197.50 is: 390.06
Step by Step Solution
- Step 1: Write the proportion equation
100 : 197.50 = 197.50 : x - Step 2: Convert to fraction form
100/197.50 = 197.50/x - Step 3: Cross multiply
100x = 197.50 × 197.50 - Step 4: Simplify right side
100x = 39,006.25 - Step 5: Solve for x
x = 39,006.25/100 - Step 6: Final answer
x = 390.06
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Why These Related Problems?
These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.