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Finding the Third Proportional to 113,467 and 246,896

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Solution

The third proportional to 113,467 and 246,896 is: 537,227.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,467 : 246,896 = 246,896 : x
  2. Step 2: Convert to fraction form
    113,467/246,896 = 246,896/x
  3. Step 3: Cross multiply
    113,467x = 246,896 × 246,896
  4. Step 4: Simplify right side
    113,467x = 60,957,634,816
  5. Step 5: Solve for x
    x = 60,957,634,816/113,467
  6. Step 6: Final answer
    x = 537,227.87

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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.