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Finding the Third Proportional to 125,244 and 268,704

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Solution

The third proportional to 125,244 and 268,704 is: 576,489.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,244 : 268,704 = 268,704 : x
  2. Step 2: Convert to fraction form
    125,244/268,704 = 268,704/x
  3. Step 3: Cross multiply
    125,244x = 268,704 × 268,704
  4. Step 4: Simplify right side
    125,244x = 72,201,839,616
  5. Step 5: Solve for x
    x = 72,201,839,616/125,244
  6. Step 6: Final answer
    x = 576,489.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.