Finding the Third Proportional to 217,038 and 470,160
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Solution
The third proportional to 217,038 and 470,160 is: 1,018,487.20
Step by Step Solution
- Step 1: Write the proportion equation
217,038 : 470,160 = 470,160 : x - Step 2: Convert to fraction form
217,038/470,160 = 470,160/x - Step 3: Cross multiply
217,038x = 470,160 × 470,160 - Step 4: Simplify right side
217,038x = 221,050,425,600 - Step 5: Solve for x
x = 221,050,425,600/217,038 - Step 6: Final answer
x = 1,018,487.20
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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.