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Finding the Third Proportional to 111,030.75 and 241,015.50

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Solution

The third proportional to 111,030.75 and 241,015.50 is: 523,174.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,030.75 : 241,015.50 = 241,015.50 : x
  2. Step 2: Convert to fraction form
    111,030.75/241,015.50 = 241,015.50/x
  3. Step 3: Cross multiply
    111,030.75x = 241,015.50 × 241,015.50
  4. Step 4: Simplify right side
    111,030.75x = 58,088,471,240.25
  5. Step 5: Solve for x
    x = 58,088,471,240.25/111,030.75
  6. Step 6: Final answer
    x = 523,174.63

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