Finding the Third Proportional to 157,709 and 380,057
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Solution
The third proportional to 157,709 and 380,057 is: 915,885.10
Step by Step Solution
- Step 1: Write the proportion equation
157,709 : 380,057 = 380,057 : x - Step 2: Convert to fraction form
157,709/380,057 = 380,057/x - Step 3: Cross multiply
157,709x = 380,057 × 380,057 - Step 4: Simplify right side
157,709x = 144,443,323,249 - Step 5: Solve for x
x = 144,443,323,249/157,709 - Step 6: Final answer
x = 915,885.10
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Why These Related Problems?
These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.