Finding the Third Proportional to 145,400 and 314,151
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Solution
The third proportional to 145,400 and 314,151 is: 678,754.13
Step by Step Solution
- Step 1: Write the proportion equation
145,400 : 314,151 = 314,151 : x - Step 2: Convert to fraction form
145,400/314,151 = 314,151/x - Step 3: Cross multiply
145,400x = 314,151 × 314,151 - Step 4: Simplify right side
145,400x = 98,690,850,801 - Step 5: Solve for x
x = 98,690,850,801/145,400 - Step 6: Final answer
x = 678,754.13
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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.