Finding the Third Proportional to 206,967 and 447,155
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Solution
The third proportional to 206,967 and 447,155 is: 966,084.42
Step by Step Solution
- Step 1: Write the proportion equation
206,967 : 447,155 = 447,155 : x - Step 2: Convert to fraction form
206,967/447,155 = 447,155/x - Step 3: Cross multiply
206,967x = 447,155 × 447,155 - Step 4: Simplify right side
206,967x = 199,947,594,025 - Step 5: Solve for x
x = 199,947,594,025/206,967 - Step 6: Final answer
x = 966,084.42
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.