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Finding the Third Proportional to 163,227 and 359,554

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Solution

The third proportional to 163,227 and 359,554 is: 792,020.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,227 : 359,554 = 359,554 : x
  2. Step 2: Convert to fraction form
    163,227/359,554 = 359,554/x
  3. Step 3: Cross multiply
    163,227x = 359,554 × 359,554
  4. Step 4: Simplify right side
    163,227x = 129,279,078,916
  5. Step 5: Solve for x
    x = 129,279,078,916/163,227
  6. Step 6: Final answer
    x = 792,020.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.