Finding the Third Proportional to 140,764.50 and 207,414
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Solution
The third proportional to 140,764.50 and 207,414 is: 305,620.86
Step by Step Solution
- Step 1: Write the proportion equation
140,764.50 : 207,414 = 207,414 : x - Step 2: Convert to fraction form
140,764.50/207,414 = 207,414/x - Step 3: Cross multiply
140,764.50x = 207,414 × 207,414 - Step 4: Simplify right side
140,764.50x = 43,020,567,396 - Step 5: Solve for x
x = 43,020,567,396/140,764.50 - Step 6: Final answer
x = 305,620.86
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.