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Finding the Third Proportional to 120,652 and 244,536

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Solution

The third proportional to 120,652 and 244,536 is: 495,622.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,652 : 244,536 = 244,536 : x
  2. Step 2: Convert to fraction form
    120,652/244,536 = 244,536/x
  3. Step 3: Cross multiply
    120,652x = 244,536 × 244,536
  4. Step 4: Simplify right side
    120,652x = 59,797,855,296
  5. Step 5: Solve for x
    x = 59,797,855,296/120,652
  6. Step 6: Final answer
    x = 495,622.58

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.