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Finding the Third Proportional to 110,419 and 239,509

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Solution

The third proportional to 110,419 and 239,509 is: 519,517.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,419 : 239,509 = 239,509 : x
  2. Step 2: Convert to fraction form
    110,419/239,509 = 239,509/x
  3. Step 3: Cross multiply
    110,419x = 239,509 × 239,509
  4. Step 4: Simplify right side
    110,419x = 57,364,561,081
  5. Step 5: Solve for x
    x = 57,364,561,081/110,419
  6. Step 6: Final answer
    x = 519,517.12

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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.