Finding the Third Proportional to 217,048 and 470,180
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Solution
The third proportional to 217,048 and 470,180 is: 1,018,526.93
Step by Step Solution
- Step 1: Write the proportion equation
217,048 : 470,180 = 470,180 : x - Step 2: Convert to fraction form
217,048/470,180 = 470,180/x - Step 3: Cross multiply
217,048x = 470,180 × 470,180 - Step 4: Simplify right side
217,048x = 221,069,232,400 - Step 5: Solve for x
x = 221,069,232,400/217,048 - Step 6: Final answer
x = 1,018,526.93
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.