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Finding the Third Proportional to 110,812 and 240,200

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Solution

The third proportional to 110,812 and 240,200 is: 520,665.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,812 : 240,200 = 240,200 : x
  2. Step 2: Convert to fraction form
    110,812/240,200 = 240,200/x
  3. Step 3: Cross multiply
    110,812x = 240,200 × 240,200
  4. Step 4: Simplify right side
    110,812x = 57,696,040,000
  5. Step 5: Solve for x
    x = 57,696,040,000/110,812
  6. Step 6: Final answer
    x = 520,665.99

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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.