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Finding the Third Proportional to 111,458.44 and 241,096.50

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Solution

The third proportional to 111,458.44 and 241,096.50 is: 521,517.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,458.44 : 241,096.50 = 241,096.50 : x
  2. Step 2: Convert to fraction form
    111,458.44/241,096.50 = 241,096.50/x
  3. Step 3: Cross multiply
    111,458.44x = 241,096.50 × 241,096.50
  4. Step 4: Simplify right side
    111,458.44x = 58,127,522,312.25
  5. Step 5: Solve for x
    x = 58,127,522,312.25/111,458.44
  6. Step 6: Final answer
    x = 521,517.47

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