Finding the Third Proportional to 147,566 and 322,834
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Solution
The third proportional to 147,566 and 322,834 is: 706,272.39
Step by Step Solution
- Step 1: Write the proportion equation
147,566 : 322,834 = 322,834 : x - Step 2: Convert to fraction form
147,566/322,834 = 322,834/x - Step 3: Cross multiply
147,566x = 322,834 × 322,834 - Step 4: Simplify right side
147,566x = 104,221,791,556 - Step 5: Solve for x
x = 104,221,791,556/147,566 - Step 6: Final answer
x = 706,272.39
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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.