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Finding the Third Proportional to 110,459 and 239,629

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Solution

The third proportional to 110,459 and 239,629 is: 519,849.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,459 : 239,629 = 239,629 : x
  2. Step 2: Convert to fraction form
    110,459/239,629 = 239,629/x
  3. Step 3: Cross multiply
    110,459x = 239,629 × 239,629
  4. Step 4: Simplify right side
    110,459x = 57,422,057,641
  5. Step 5: Solve for x
    x = 57,422,057,641/110,459
  6. Step 6: Final answer
    x = 519,849.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.