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Finding the Third Proportional to 113,876 and 244,596

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Solution

The third proportional to 113,876 and 244,596 is: 525,371.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,876 : 244,596 = 244,596 : x
  2. Step 2: Convert to fraction form
    113,876/244,596 = 244,596/x
  3. Step 3: Cross multiply
    113,876x = 244,596 × 244,596
  4. Step 4: Simplify right side
    113,876x = 59,827,203,216
  5. Step 5: Solve for x
    x = 59,827,203,216/113,876
  6. Step 6: Final answer
    x = 525,371.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.