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Finding the Third Proportional to 163,884 and 250,200

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Solution

The third proportional to 163,884 and 250,200 is: 381,977.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,884 : 250,200 = 250,200 : x
  2. Step 2: Convert to fraction form
    163,884/250,200 = 250,200/x
  3. Step 3: Cross multiply
    163,884x = 250,200 × 250,200
  4. Step 4: Simplify right side
    163,884x = 62,600,040,000
  5. Step 5: Solve for x
    x = 62,600,040,000/163,884
  6. Step 6: Final answer
    x = 381,977.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.