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Finding the Third Proportional to 160,930 and 342,649

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Solution

The third proportional to 160,930 and 342,649 is: 729,561.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,930 : 342,649 = 342,649 : x
  2. Step 2: Convert to fraction form
    160,930/342,649 = 342,649/x
  3. Step 3: Cross multiply
    160,930x = 342,649 × 342,649
  4. Step 4: Simplify right side
    160,930x = 117,408,337,201
  5. Step 5: Solve for x
    x = 117,408,337,201/160,930
  6. Step 6: Final answer
    x = 729,561.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.