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Finding the Third Proportional to 77,891 and 169,450

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Solution

The third proportional to 77,891 and 169,450 is: 368,634.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,891 : 169,450 = 169,450 : x
  2. Step 2: Convert to fraction form
    77,891/169,450 = 169,450/x
  3. Step 3: Cross multiply
    77,891x = 169,450 × 169,450
  4. Step 4: Simplify right side
    77,891x = 28,713,302,500
  5. Step 5: Solve for x
    x = 28,713,302,500/77,891
  6. Step 6: Final answer
    x = 368,634.41

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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.