Finding the Third Proportional to 206,422 and 315,788
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Solution
The third proportional to 206,422 and 315,788 is: 483,098.03
Step by Step Solution
- Step 1: Write the proportion equation
206,422 : 315,788 = 315,788 : x - Step 2: Convert to fraction form
206,422/315,788 = 315,788/x - Step 3: Cross multiply
206,422x = 315,788 × 315,788 - Step 4: Simplify right side
206,422x = 99,722,060,944 - Step 5: Solve for x
x = 99,722,060,944/206,422 - Step 6: Final answer
x = 483,098.03
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.