Finding the Third Proportional to 103,160 and 226,003
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Solution
The third proportional to 103,160 and 226,003 is: 495,127.53
Step by Step Solution
- Step 1: Write the proportion equation
103,160 : 226,003 = 226,003 : x - Step 2: Convert to fraction form
103,160/226,003 = 226,003/x - Step 3: Cross multiply
103,160x = 226,003 × 226,003 - Step 4: Simplify right side
103,160x = 51,077,356,009 - Step 5: Solve for x
x = 51,077,356,009/103,160 - Step 6: Final answer
x = 495,127.53
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.