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Finding the Third Proportional to 160,674 and 339,408

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Solution

The third proportional to 160,674 and 339,408 is: 716,965.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,674 : 339,408 = 339,408 : x
  2. Step 2: Convert to fraction form
    160,674/339,408 = 339,408/x
  3. Step 3: Cross multiply
    160,674x = 339,408 × 339,408
  4. Step 4: Simplify right side
    160,674x = 115,197,790,464
  5. Step 5: Solve for x
    x = 115,197,790,464/160,674
  6. Step 6: Final answer
    x = 716,965.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.