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Finding the Third Proportional to 144,918 and 222,777

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Solution

The third proportional to 144,918 and 222,777 is: 342,466.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,918 : 222,777 = 222,777 : x
  2. Step 2: Convert to fraction form
    144,918/222,777 = 222,777/x
  3. Step 3: Cross multiply
    144,918x = 222,777 × 222,777
  4. Step 4: Simplify right side
    144,918x = 49,629,591,729
  5. Step 5: Solve for x
    x = 49,629,591,729/144,918
  6. Step 6: Final answer
    x = 342,466.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.