Finding the Third Proportional to 85,374 and 206,793
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Solution
The third proportional to 85,374 and 206,793 is: 500,894.24
Step by Step Solution
- Step 1: Write the proportion equation
85,374 : 206,793 = 206,793 : x - Step 2: Convert to fraction form
85,374/206,793 = 206,793/x - Step 3: Cross multiply
85,374x = 206,793 × 206,793 - Step 4: Simplify right side
85,374x = 42,763,344,849 - Step 5: Solve for x
x = 42,763,344,849/85,374 - Step 6: Final answer
x = 500,894.24
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Why These Related Problems?
These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.