Finding the Third Proportional to 274.75 and 423.50
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Solution
The third proportional to 274.75 and 423.50 is: 652.78
Step by Step Solution
- Step 1: Write the proportion equation
274.75 : 423.50 = 423.50 : x - Step 2: Convert to fraction form
274.75/423.50 = 423.50/x - Step 3: Cross multiply
274.75x = 423.50 × 423.50 - Step 4: Simplify right side
274.75x = 179,352.25 - Step 5: Solve for x
x = 179,352.25/274.75 - Step 6: Final answer
x = 652.78
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.