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Finding the Third Proportional to 113,384 and 247,171

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Solution

The third proportional to 113,384 and 247,171 is: 538,819.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,384 : 247,171 = 247,171 : x
  2. Step 2: Convert to fraction form
    113,384/247,171 = 247,171/x
  3. Step 3: Cross multiply
    113,384x = 247,171 × 247,171
  4. Step 4: Simplify right side
    113,384x = 61,093,503,241
  5. Step 5: Solve for x
    x = 61,093,503,241/113,384
  6. Step 6: Final answer
    x = 538,819.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.