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Finding the Third Proportional to 183,891 and 402,234

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Solution

The third proportional to 183,891 and 402,234 is: 879,826.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,891 : 402,234 = 402,234 : x
  2. Step 2: Convert to fraction form
    183,891/402,234 = 402,234/x
  3. Step 3: Cross multiply
    183,891x = 402,234 × 402,234
  4. Step 4: Simplify right side
    183,891x = 161,792,190,756
  5. Step 5: Solve for x
    x = 161,792,190,756/183,891
  6. Step 6: Final answer
    x = 879,826.59

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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.