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Finding the Third Proportional to 181,554 and 421,884

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Solution

The third proportional to 181,554 and 421,884 is: 980,348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,554 : 421,884 = 421,884 : x
  2. Step 2: Convert to fraction form
    181,554/421,884 = 421,884/x
  3. Step 3: Cross multiply
    181,554x = 421,884 × 421,884
  4. Step 4: Simplify right side
    181,554x = 177,986,109,456
  5. Step 5: Solve for x
    x = 177,986,109,456/181,554
  6. Step 6: Final answer
    x = 980,348.05

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.