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Finding the Third Proportional to 123,782 and 264,266

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Solution

The third proportional to 123,782 and 264,266 is: 564,189.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,782 : 264,266 = 264,266 : x
  2. Step 2: Convert to fraction form
    123,782/264,266 = 264,266/x
  3. Step 3: Cross multiply
    123,782x = 264,266 × 264,266
  4. Step 4: Simplify right side
    123,782x = 69,836,518,756
  5. Step 5: Solve for x
    x = 69,836,518,756/123,782
  6. Step 6: Final answer
    x = 564,189.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.