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Finding the Third Proportional to 180,794 and 393,300

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Solution

The third proportional to 180,794 and 393,300 is: 855,586.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,794 : 393,300 = 393,300 : x
  2. Step 2: Convert to fraction form
    180,794/393,300 = 393,300/x
  3. Step 3: Cross multiply
    180,794x = 393,300 × 393,300
  4. Step 4: Simplify right side
    180,794x = 154,684,890,000
  5. Step 5: Solve for x
    x = 154,684,890,000/180,794
  6. Step 6: Final answer
    x = 855,586.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.