Finding the Third Proportional to 140,984 and 305,342
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Solution
The third proportional to 140,984 and 305,342 is: 661,307.22
Step by Step Solution
- Step 1: Write the proportion equation
140,984 : 305,342 = 305,342 : x - Step 2: Convert to fraction form
140,984/305,342 = 305,342/x - Step 3: Cross multiply
140,984x = 305,342 × 305,342 - Step 4: Simplify right side
140,984x = 93,233,736,964 - Step 5: Solve for x
x = 93,233,736,964/140,984 - Step 6: Final answer
x = 661,307.22
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.