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Finding the Third Proportional to 111,567 and 245,175

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Solution

The third proportional to 111,567 and 245,175 is: 538,786.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,567 : 245,175 = 245,175 : x
  2. Step 2: Convert to fraction form
    111,567/245,175 = 245,175/x
  3. Step 3: Cross multiply
    111,567x = 245,175 × 245,175
  4. Step 4: Simplify right side
    111,567x = 60,110,780,625
  5. Step 5: Solve for x
    x = 60,110,780,625/111,567
  6. Step 6: Final answer
    x = 538,786.39

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