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Finding the Third Proportional to 163,794 and 345,084

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Solution

The third proportional to 163,794 and 345,084 is: 727,028.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,794 : 345,084 = 345,084 : x
  2. Step 2: Convert to fraction form
    163,794/345,084 = 345,084/x
  3. Step 3: Cross multiply
    163,794x = 345,084 × 345,084
  4. Step 4: Simplify right side
    163,794x = 119,082,967,056
  5. Step 5: Solve for x
    x = 119,082,967,056/163,794
  6. Step 6: Final answer
    x = 727,028.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.