Finding the Third Proportional to 257,938 and 289,922
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Solution
The third proportional to 257,938 and 289,922 is: 325,871.98
Step by Step Solution
- Step 1: Write the proportion equation
257,938 : 289,922 = 289,922 : x - Step 2: Convert to fraction form
257,938/289,922 = 289,922/x - Step 3: Cross multiply
257,938x = 289,922 × 289,922 - Step 4: Simplify right side
257,938x = 84,054,766,084 - Step 5: Solve for x
x = 84,054,766,084/257,938 - Step 6: Final answer
x = 325,871.98
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Why These Related Problems?
These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.