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Finding the Third Proportional to 111,684.38 and 240,863.63

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Solution

The third proportional to 111,684.38 and 240,863.63 is: 519,457.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,684.38 : 240,863.63 = 240,863.63 : x
  2. Step 2: Convert to fraction form
    111,684.38/240,863.63 = 240,863.63/x
  3. Step 3: Cross multiply
    111,684.38x = 240,863.63 × 240,863.63
  4. Step 4: Simplify right side
    111,684.38x = 58,015,285,848.14
  5. Step 5: Solve for x
    x = 58,015,285,848.14/111,684.38
  6. Step 6: Final answer
    x = 519,457.50

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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.