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Finding the Third Proportional to 132,467 and 199,244

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Solution

The third proportional to 132,467 and 199,244 is: 299,683.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,467 : 199,244 = 199,244 : x
  2. Step 2: Convert to fraction form
    132,467/199,244 = 199,244/x
  3. Step 3: Cross multiply
    132,467x = 199,244 × 199,244
  4. Step 4: Simplify right side
    132,467x = 39,698,171,536
  5. Step 5: Solve for x
    x = 39,698,171,536/132,467
  6. Step 6: Final answer
    x = 299,683.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.