Finding the Third Proportional to 144,018 and 314,037
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Solution
The third proportional to 144,018 and 314,037 is: 684,770.22
Step by Step Solution
- Step 1: Write the proportion equation
144,018 : 314,037 = 314,037 : x - Step 2: Convert to fraction form
144,018/314,037 = 314,037/x - Step 3: Cross multiply
144,018x = 314,037 × 314,037 - Step 4: Simplify right side
144,018x = 98,619,237,369 - Step 5: Solve for x
x = 98,619,237,369/144,018 - Step 6: Final answer
x = 684,770.22
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.