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Finding the Third Proportional to 173,100 and 383,772

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Solution

The third proportional to 173,100 and 383,772 is: 850,843.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,100 : 383,772 = 383,772 : x
  2. Step 2: Convert to fraction form
    173,100/383,772 = 383,772/x
  3. Step 3: Cross multiply
    173,100x = 383,772 × 383,772
  4. Step 4: Simplify right side
    173,100x = 147,280,947,984
  5. Step 5: Solve for x
    x = 147,280,947,984/173,100
  6. Step 6: Final answer
    x = 850,843.14

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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.