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Finding the Third Proportional to 117,450 and 258,228

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Solution

The third proportional to 117,450 and 258,228 is: 567,745.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,450 : 258,228 = 258,228 : x
  2. Step 2: Convert to fraction form
    117,450/258,228 = 258,228/x
  3. Step 3: Cross multiply
    117,450x = 258,228 × 258,228
  4. Step 4: Simplify right side
    117,450x = 66,681,699,984
  5. Step 5: Solve for x
    x = 66,681,699,984/117,450
  6. Step 6: Final answer
    x = 567,745.42

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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.