Finding the Third Proportional to 294 and 449.25
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Solution
The third proportional to 294 and 449.25 is: 686.48
Step by Step Solution
- Step 1: Write the proportion equation
294 : 449.25 = 449.25 : x - Step 2: Convert to fraction form
294/449.25 = 449.25/x - Step 3: Cross multiply
294x = 449.25 × 449.25 - Step 4: Simplify right side
294x = 201,825.56 - Step 5: Solve for x
x = 201,825.56/294 - Step 6: Final answer
x = 686.48
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.