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Finding the Third Proportional to 178,869 and 388,799

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Solution

The third proportional to 178,869 and 388,799 is: 845,113.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,869 : 388,799 = 388,799 : x
  2. Step 2: Convert to fraction form
    178,869/388,799 = 388,799/x
  3. Step 3: Cross multiply
    178,869x = 388,799 × 388,799
  4. Step 4: Simplify right side
    178,869x = 151,164,662,401
  5. Step 5: Solve for x
    x = 151,164,662,401/178,869
  6. Step 6: Final answer
    x = 845,113.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.