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Finding the Third Proportional to 192,936 and 294,954

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Solution

The third proportional to 192,936 and 294,954 is: 450,915.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,936 : 294,954 = 294,954 : x
  2. Step 2: Convert to fraction form
    192,936/294,954 = 294,954/x
  3. Step 3: Cross multiply
    192,936x = 294,954 × 294,954
  4. Step 4: Simplify right side
    192,936x = 86,997,862,116
  5. Step 5: Solve for x
    x = 86,997,862,116/192,936
  6. Step 6: Final answer
    x = 450,915.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.