Finding the Third Proportional to 140,140 and 299,960
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Solution
The third proportional to 140,140 and 299,960 is: 642,043.68
Step by Step Solution
- Step 1: Write the proportion equation
140,140 : 299,960 = 299,960 : x - Step 2: Convert to fraction form
140,140/299,960 = 299,960/x - Step 3: Cross multiply
140,140x = 299,960 × 299,960 - Step 4: Simplify right side
140,140x = 89,976,001,600 - Step 5: Solve for x
x = 89,976,001,600/140,140 - Step 6: Final answer
x = 642,043.68
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.