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Finding the Third Proportional to 111,654 and 240,800

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Solution

The third proportional to 111,654 and 240,800 is: 519,324.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,654 : 240,800 = 240,800 : x
  2. Step 2: Convert to fraction form
    111,654/240,800 = 240,800/x
  3. Step 3: Cross multiply
    111,654x = 240,800 × 240,800
  4. Step 4: Simplify right side
    111,654x = 57,984,640,000
  5. Step 5: Solve for x
    x = 57,984,640,000/111,654
  6. Step 6: Final answer
    x = 519,324.34

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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.