Finding the Third Proportional to 123,032 and 200,897
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Solution
The third proportional to 123,032 and 200,897 is: 328,041.52
Step by Step Solution
- Step 1: Write the proportion equation
123,032 : 200,897 = 200,897 : x - Step 2: Convert to fraction form
123,032/200,897 = 200,897/x - Step 3: Cross multiply
123,032x = 200,897 × 200,897 - Step 4: Simplify right side
123,032x = 40,359,604,609 - Step 5: Solve for x
x = 40,359,604,609/123,032 - Step 6: Final answer
x = 328,041.52
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Why These Related Problems?
These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.