Finding the Third Proportional to 216,054 and 470,853
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Solution
The third proportional to 216,054 and 470,853 is: 1,026,144.15
Step by Step Solution
- Step 1: Write the proportion equation
216,054 : 470,853 = 470,853 : x - Step 2: Convert to fraction form
216,054/470,853 = 470,853/x - Step 3: Cross multiply
216,054x = 470,853 × 470,853 - Step 4: Simplify right side
216,054x = 221,702,547,609 - Step 5: Solve for x
x = 221,702,547,609/216,054 - Step 6: Final answer
x = 1,026,144.15
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.