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Finding the Third Proportional to 113,824 and 245,883

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Solution

The third proportional to 113,824 and 245,883 is: 531,157.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,824 : 245,883 = 245,883 : x
  2. Step 2: Convert to fraction form
    113,824/245,883 = 245,883/x
  3. Step 3: Cross multiply
    113,824x = 245,883 × 245,883
  4. Step 4: Simplify right side
    113,824x = 60,458,449,689
  5. Step 5: Solve for x
    x = 60,458,449,689/113,824
  6. Step 6: Final answer
    x = 531,157.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.