Finding the Third Proportional to 97 and 259.50
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Solution
The third proportional to 97 and 259.50 is: 694.23
Step by Step Solution
- Step 1: Write the proportion equation
97 : 259.50 = 259.50 : x - Step 2: Convert to fraction form
97/259.50 = 259.50/x - Step 3: Cross multiply
97x = 259.50 × 259.50 - Step 4: Simplify right side
97x = 67,340.25 - Step 5: Solve for x
x = 67,340.25/97 - Step 6: Final answer
x = 694.23
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Why These Related Problems?
These problems maintain the same ratio (2.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.