Finding the Third Proportional to 206,475.75 and 382,911.75
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Solution
The third proportional to 206,475.75 and 382,911.75 is: 710,114.42
Step by Step Solution
- Step 1: Write the proportion equation
206,475.75 : 382,911.75 = 382,911.75 : x - Step 2: Convert to fraction form
206,475.75/382,911.75 = 382,911.75/x - Step 3: Cross multiply
206,475.75x = 382,911.75 × 382,911.75 - Step 4: Simplify right side
206,475.75x = 146,621,408,288.06 - Step 5: Solve for x
x = 146,621,408,288.06/206,475.75 - Step 6: Final answer
x = 710,114.42
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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.