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Finding the Third Proportional to 173,104 and 383,780

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Solution

The third proportional to 173,104 and 383,780 is: 850,858.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,104 : 383,780 = 383,780 : x
  2. Step 2: Convert to fraction form
    173,104/383,780 = 383,780/x
  3. Step 3: Cross multiply
    173,104x = 383,780 × 383,780
  4. Step 4: Simplify right side
    173,104x = 147,287,088,400
  5. Step 5: Solve for x
    x = 147,287,088,400/173,104
  6. Step 6: Final answer
    x = 850,858.95

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.