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Finding the Third Proportional to 160,230 and 341,907

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Solution

The third proportional to 160,230 and 341,907 is: 729,578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,230 : 341,907 = 341,907 : x
  2. Step 2: Convert to fraction form
    160,230/341,907 = 341,907/x
  3. Step 3: Cross multiply
    160,230x = 341,907 × 341,907
  4. Step 4: Simplify right side
    160,230x = 116,900,396,649
  5. Step 5: Solve for x
    x = 116,900,396,649/160,230
  6. Step 6: Final answer
    x = 729,578.71

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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.