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Finding the Third Proportional to 331,105 and 737,156

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Solution

The third proportional to 331,105 and 737,156 is: 1,641,168.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,105 : 737,156 = 737,156 : x
  2. Step 2: Convert to fraction form
    331,105/737,156 = 737,156/x
  3. Step 3: Cross multiply
    331,105x = 737,156 × 737,156
  4. Step 4: Simplify right side
    331,105x = 543,398,968,336
  5. Step 5: Solve for x
    x = 543,398,968,336/331,105
  6. Step 6: Final answer
    x = 1,641,168.11

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.