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Finding the Third Proportional to 110,306 and 231,412

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Solution

The third proportional to 110,306 and 231,412 is: 485,481.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,306 : 231,412 = 231,412 : x
  2. Step 2: Convert to fraction form
    110,306/231,412 = 231,412/x
  3. Step 3: Cross multiply
    110,306x = 231,412 × 231,412
  4. Step 4: Simplify right side
    110,306x = 53,551,513,744
  5. Step 5: Solve for x
    x = 53,551,513,744/110,306
  6. Step 6: Final answer
    x = 485,481.42

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Why These Related Problems?

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