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Finding the Third Proportional to 160,868 and 353,245

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Solution

The third proportional to 160,868 and 353,245 is: 775,679.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,868 : 353,245 = 353,245 : x
  2. Step 2: Convert to fraction form
    160,868/353,245 = 353,245/x
  3. Step 3: Cross multiply
    160,868x = 353,245 × 353,245
  4. Step 4: Simplify right side
    160,868x = 124,782,030,025
  5. Step 5: Solve for x
    x = 124,782,030,025/160,868
  6. Step 6: Final answer
    x = 775,679.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.