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Finding the Third Proportional to 111,684.75 and 240,864.38

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Solution

The third proportional to 111,684.75 and 240,864.38 is: 519,458.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,684.75 : 240,864.38 = 240,864.38 : x
  2. Step 2: Convert to fraction form
    111,684.75/240,864.38 = 240,864.38/x
  3. Step 3: Cross multiply
    111,684.75x = 240,864.38 × 240,864.38
  4. Step 4: Simplify right side
    111,684.75x = 58,015,647,144.14
  5. Step 5: Solve for x
    x = 58,015,647,144.14/111,684.75
  6. Step 6: Final answer
    x = 519,458.99

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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.