Finding the Third Proportional to 219,532 and 470,168
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Solution
The third proportional to 219,532 and 470,168 is: 1,006,950.91
Step by Step Solution
- Step 1: Write the proportion equation
219,532 : 470,168 = 470,168 : x - Step 2: Convert to fraction form
219,532/470,168 = 470,168/x - Step 3: Cross multiply
219,532x = 470,168 × 470,168 - Step 4: Simplify right side
219,532x = 221,057,948,224 - Step 5: Solve for x
x = 221,057,948,224/219,532 - Step 6: Final answer
x = 1,006,950.91
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.