Finding the Third Proportional to 340 and 837
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Solution
The third proportional to 340 and 837 is: 2,060.50
Step by Step Solution
- Step 1: Write the proportion equation
340 : 837 = 837 : x - Step 2: Convert to fraction form
340/837 = 837/x - Step 3: Cross multiply
340x = 837 × 837 - Step 4: Simplify right side
340x = 700,569 - Step 5: Solve for x
x = 700,569/340 - Step 6: Final answer
x = 2,060.50
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Why These Related Problems?
These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.