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Finding the Third Proportional to 125,512 and 276,296

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Solution

The third proportional to 125,512 and 276,296 is: 608,224.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,512 : 276,296 = 276,296 : x
  2. Step 2: Convert to fraction form
    125,512/276,296 = 276,296/x
  3. Step 3: Cross multiply
    125,512x = 276,296 × 276,296
  4. Step 4: Simplify right side
    125,512x = 76,339,479,616
  5. Step 5: Solve for x
    x = 76,339,479,616/125,512
  6. Step 6: Final answer
    x = 608,224.55

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.