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Finding the Third Proportional to 183,288 and 273,204

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Solution

The third proportional to 183,288 and 273,204 is: 407,230.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,288 : 273,204 = 273,204 : x
  2. Step 2: Convert to fraction form
    183,288/273,204 = 273,204/x
  3. Step 3: Cross multiply
    183,288x = 273,204 × 273,204
  4. Step 4: Simplify right side
    183,288x = 74,640,425,616
  5. Step 5: Solve for x
    x = 74,640,425,616/183,288
  6. Step 6: Final answer
    x = 407,230.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.