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Finding the Third Proportional to 110,378 and 239,961

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Solution

The third proportional to 110,378 and 239,961 is: 521,673.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,378 : 239,961 = 239,961 : x
  2. Step 2: Convert to fraction form
    110,378/239,961 = 239,961/x
  3. Step 3: Cross multiply
    110,378x = 239,961 × 239,961
  4. Step 4: Simplify right side
    110,378x = 57,581,281,521
  5. Step 5: Solve for x
    x = 57,581,281,521/110,378
  6. Step 6: Final answer
    x = 521,673.54

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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.