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Finding the Third Proportional to 111,692 and 240,880

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Solution

The third proportional to 111,692 and 240,880 is: 519,492.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,692 : 240,880 = 240,880 : x
  2. Step 2: Convert to fraction form
    111,692/240,880 = 240,880/x
  3. Step 3: Cross multiply
    111,692x = 240,880 × 240,880
  4. Step 4: Simplify right side
    111,692x = 58,023,174,400
  5. Step 5: Solve for x
    x = 58,023,174,400/111,692
  6. Step 6: Final answer
    x = 519,492.66

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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.