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Finding the Third Proportional to 110,934 and 239,364

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Solution

The third proportional to 110,934 and 239,364 is: 516,479.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,934 : 239,364 = 239,364 : x
  2. Step 2: Convert to fraction form
    110,934/239,364 = 239,364/x
  3. Step 3: Cross multiply
    110,934x = 239,364 × 239,364
  4. Step 4: Simplify right side
    110,934x = 57,295,124,496
  5. Step 5: Solve for x
    x = 57,295,124,496/110,934
  6. Step 6: Final answer
    x = 516,479.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.