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Finding the Third Proportional to 192,900 and 306,954

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Solution

The third proportional to 192,900 and 306,954 is: 488,443.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,900 : 306,954 = 306,954 : x
  2. Step 2: Convert to fraction form
    192,900/306,954 = 306,954/x
  3. Step 3: Cross multiply
    192,900x = 306,954 × 306,954
  4. Step 4: Simplify right side
    192,900x = 94,220,758,116
  5. Step 5: Solve for x
    x = 94,220,758,116/192,900
  6. Step 6: Final answer
    x = 488,443.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.