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Finding the Third Proportional to 188,494 and 410,859

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Solution

The third proportional to 188,494 and 410,859 is: 895,546.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,494 : 410,859 = 410,859 : x
  2. Step 2: Convert to fraction form
    188,494/410,859 = 410,859/x
  3. Step 3: Cross multiply
    188,494x = 410,859 × 410,859
  4. Step 4: Simplify right side
    188,494x = 168,805,117,881
  5. Step 5: Solve for x
    x = 168,805,117,881/188,494
  6. Step 6: Final answer
    x = 895,546.37

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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.