Finding the Third Proportional to 293 and 696.50
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Solution
The third proportional to 293 and 696.50 is: 1,655.67
Step by Step Solution
- Step 1: Write the proportion equation
293 : 696.50 = 696.50 : x - Step 2: Convert to fraction form
293/696.50 = 696.50/x - Step 3: Cross multiply
293x = 696.50 × 696.50 - Step 4: Simplify right side
293x = 485,112.25 - Step 5: Solve for x
x = 485,112.25/293 - Step 6: Final answer
x = 1,655.67
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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.