Finding the Third Proportional to 140,397 and 200,769
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Solution
The third proportional to 140,397 and 200,769 is: 287,101.51
Step by Step Solution
- Step 1: Write the proportion equation
140,397 : 200,769 = 200,769 : x - Step 2: Convert to fraction form
140,397/200,769 = 200,769/x - Step 3: Cross multiply
140,397x = 200,769 × 200,769 - Step 4: Simplify right side
140,397x = 40,308,191,361 - Step 5: Solve for x
x = 40,308,191,361/140,397 - Step 6: Final answer
x = 287,101.51
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.