Finding the Third Proportional to 206,475.19 and 382,911.19
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Solution
The third proportional to 206,475.19 and 382,911.19 is: 710,114.27
Step by Step Solution
- Step 1: Write the proportion equation
206,475.19 : 382,911.19 = 382,911.19 : x - Step 2: Convert to fraction form
206,475.19/382,911.19 = 382,911.19/x - Step 3: Cross multiply
206,475.19x = 382,911.19 × 382,911.19 - Step 4: Simplify right side
206,475.19x = 146,620,977,512.66 - Step 5: Solve for x
x = 146,620,977,512.66/206,475.19 - Step 6: Final answer
x = 710,114.27
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Why These Related Problems?
These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.