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Finding the Third Proportional to 173,039 and 383,654

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Solution

The third proportional to 173,039 and 383,654 is: 850,619.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,039 : 383,654 = 383,654 : x
  2. Step 2: Convert to fraction form
    173,039/383,654 = 383,654/x
  3. Step 3: Cross multiply
    173,039x = 383,654 × 383,654
  4. Step 4: Simplify right side
    173,039x = 147,190,391,716
  5. Step 5: Solve for x
    x = 147,190,391,716/173,039
  6. Step 6: Final answer
    x = 850,619.75

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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.