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Finding the Third Proportional to 206,848 and 320,256

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Solution

The third proportional to 206,848 and 320,256 is: 495,841.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,848 : 320,256 = 320,256 : x
  2. Step 2: Convert to fraction form
    206,848/320,256 = 320,256/x
  3. Step 3: Cross multiply
    206,848x = 320,256 × 320,256
  4. Step 4: Simplify right side
    206,848x = 102,563,905,536
  5. Step 5: Solve for x
    x = 102,563,905,536/206,848
  6. Step 6: Final answer
    x = 495,841.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.