Finding the Third Proportional to 145,744 and 314,448
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Solution
The third proportional to 145,744 and 314,448 is: 678,433.04
Step by Step Solution
- Step 1: Write the proportion equation
145,744 : 314,448 = 314,448 : x - Step 2: Convert to fraction form
145,744/314,448 = 314,448/x - Step 3: Cross multiply
145,744x = 314,448 × 314,448 - Step 4: Simplify right side
145,744x = 98,877,544,704 - Step 5: Solve for x
x = 98,877,544,704/145,744 - Step 6: Final answer
x = 678,433.04
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.