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Finding the Third Proportional to 111,337 and 233,615

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Solution

The third proportional to 111,337 and 233,615 is: 490,187.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,337 : 233,615 = 233,615 : x
  2. Step 2: Convert to fraction form
    111,337/233,615 = 233,615/x
  3. Step 3: Cross multiply
    111,337x = 233,615 × 233,615
  4. Step 4: Simplify right side
    111,337x = 54,575,968,225
  5. Step 5: Solve for x
    x = 54,575,968,225/111,337
  6. Step 6: Final answer
    x = 490,187.16

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.