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Finding the Third Proportional to 113,625 and 246,906

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Solution

The third proportional to 113,625 and 246,906 is: 536,524.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,625 : 246,906 = 246,906 : x
  2. Step 2: Convert to fraction form
    113,625/246,906 = 246,906/x
  3. Step 3: Cross multiply
    113,625x = 246,906 × 246,906
  4. Step 4: Simplify right side
    113,625x = 60,962,572,836
  5. Step 5: Solve for x
    x = 60,962,572,836/113,625
  6. Step 6: Final answer
    x = 536,524.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.