Finding the Third Proportional to 92,357 and 198,840
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Solution
The third proportional to 92,357 and 198,840 is: 428,092.57
Step by Step Solution
- Step 1: Write the proportion equation
92,357 : 198,840 = 198,840 : x - Step 2: Convert to fraction form
92,357/198,840 = 198,840/x - Step 3: Cross multiply
92,357x = 198,840 × 198,840 - Step 4: Simplify right side
92,357x = 39,537,345,600 - Step 5: Solve for x
x = 39,537,345,600/92,357 - Step 6: Final answer
x = 428,092.57
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.