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Finding the Third Proportional to 110,385 and 239,973

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Solution

The third proportional to 110,385 and 239,973 is: 521,692.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,385 : 239,973 = 239,973 : x
  2. Step 2: Convert to fraction form
    110,385/239,973 = 239,973/x
  3. Step 3: Cross multiply
    110,385x = 239,973 × 239,973
  4. Step 4: Simplify right side
    110,385x = 57,587,040,729
  5. Step 5: Solve for x
    x = 57,587,040,729/110,385
  6. Step 6: Final answer
    x = 521,692.63

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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.