Finding the Third Proportional to 92,858 and 200,494
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Solution
The third proportional to 92,858 and 200,494 is: 432,895.86
Step by Step Solution
- Step 1: Write the proportion equation
92,858 : 200,494 = 200,494 : x - Step 2: Convert to fraction form
92,858/200,494 = 200,494/x - Step 3: Cross multiply
92,858x = 200,494 × 200,494 - Step 4: Simplify right side
92,858x = 40,197,844,036 - Step 5: Solve for x
x = 40,197,844,036/92,858 - Step 6: Final answer
x = 432,895.86
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.