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Finding the Third Proportional to 155,825 and 341,311

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Solution

The third proportional to 155,825 and 341,311 is: 747,589.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,825 : 341,311 = 341,311 : x
  2. Step 2: Convert to fraction form
    155,825/341,311 = 341,311/x
  3. Step 3: Cross multiply
    155,825x = 341,311 × 341,311
  4. Step 4: Simplify right side
    155,825x = 116,493,198,721
  5. Step 5: Solve for x
    x = 116,493,198,721/155,825
  6. Step 6: Final answer
    x = 747,589.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.