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Finding the Third Proportional to 159,408 and 323,676

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Solution

The third proportional to 159,408 and 323,676 is: 657,220.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,408 : 323,676 = 323,676 : x
  2. Step 2: Convert to fraction form
    159,408/323,676 = 323,676/x
  3. Step 3: Cross multiply
    159,408x = 323,676 × 323,676
  4. Step 4: Simplify right side
    159,408x = 104,766,152,976
  5. Step 5: Solve for x
    x = 104,766,152,976/159,408
  6. Step 6: Final answer
    x = 657,220.17

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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.