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Finding the Third Proportional to 148,014 and 318,204

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Solution

The third proportional to 148,014 and 318,204 is: 684,082.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,014 : 318,204 = 318,204 : x
  2. Step 2: Convert to fraction form
    148,014/318,204 = 318,204/x
  3. Step 3: Cross multiply
    148,014x = 318,204 × 318,204
  4. Step 4: Simplify right side
    148,014x = 101,253,785,616
  5. Step 5: Solve for x
    x = 101,253,785,616/148,014
  6. Step 6: Final answer
    x = 684,082.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.