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Finding the Third Proportional to 148,510 and 320,204

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Solution

The third proportional to 148,510 and 320,204 is: 690,395.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,510 : 320,204 = 320,204 : x
  2. Step 2: Convert to fraction form
    148,510/320,204 = 320,204/x
  3. Step 3: Cross multiply
    148,510x = 320,204 × 320,204
  4. Step 4: Simplify right side
    148,510x = 102,530,601,616
  5. Step 5: Solve for x
    x = 102,530,601,616/148,510
  6. Step 6: Final answer
    x = 690,395.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.