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Finding the Third Proportional to 158,800 and 217,734

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Solution

The third proportional to 158,800 and 217,734 is: 298,539.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,800 : 217,734 = 217,734 : x
  2. Step 2: Convert to fraction form
    158,800/217,734 = 217,734/x
  3. Step 3: Cross multiply
    158,800x = 217,734 × 217,734
  4. Step 4: Simplify right side
    158,800x = 47,408,094,756
  5. Step 5: Solve for x
    x = 47,408,094,756/158,800
  6. Step 6: Final answer
    x = 298,539.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.