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Finding the Third Proportional to 112,832 and 247,807

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Solution

The third proportional to 112,832 and 247,807 is: 544,245.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,832 : 247,807 = 247,807 : x
  2. Step 2: Convert to fraction form
    112,832/247,807 = 247,807/x
  3. Step 3: Cross multiply
    112,832x = 247,807 × 247,807
  4. Step 4: Simplify right side
    112,832x = 61,408,309,249
  5. Step 5: Solve for x
    x = 61,408,309,249/112,832
  6. Step 6: Final answer
    x = 544,245.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.