Finding the Third Proportional to 140,102.50 and 304,020
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Solution
The third proportional to 140,102.50 and 304,020 is: 659,718.14
Step by Step Solution
- Step 1: Write the proportion equation
140,102.50 : 304,020 = 304,020 : x - Step 2: Convert to fraction form
140,102.50/304,020 = 304,020/x - Step 3: Cross multiply
140,102.50x = 304,020 × 304,020 - Step 4: Simplify right side
140,102.50x = 92,428,160,400 - Step 5: Solve for x
x = 92,428,160,400/140,102.50 - Step 6: Final answer
x = 659,718.14
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.