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Finding the Third Proportional to 111,036 and 241,029

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Solution

The third proportional to 111,036 and 241,029 is: 523,208.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,036 : 241,029 = 241,029 : x
  2. Step 2: Convert to fraction form
    111,036/241,029 = 241,029/x
  3. Step 3: Cross multiply
    111,036x = 241,029 × 241,029
  4. Step 4: Simplify right side
    111,036x = 58,094,978,841
  5. Step 5: Solve for x
    x = 58,094,978,841/111,036
  6. Step 6: Final answer
    x = 523,208.50

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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.