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Finding the Third Proportional to 112,503 and 244,734

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Solution

The third proportional to 112,503 and 244,734 is: 532,383.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,503 : 244,734 = 244,734 : x
  2. Step 2: Convert to fraction form
    112,503/244,734 = 244,734/x
  3. Step 3: Cross multiply
    112,503x = 244,734 × 244,734
  4. Step 4: Simplify right side
    112,503x = 59,894,730,756
  5. Step 5: Solve for x
    x = 59,894,730,756/112,503
  6. Step 6: Final answer
    x = 532,383.41

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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.