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Finding the Third Proportional to 123,027.75 and 264,370.50

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Solution

The third proportional to 123,027.75 and 264,370.50 is: 568,097.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,027.75 : 264,370.50 = 264,370.50 : x
  2. Step 2: Convert to fraction form
    123,027.75/264,370.50 = 264,370.50/x
  3. Step 3: Cross multiply
    123,027.75x = 264,370.50 × 264,370.50
  4. Step 4: Simplify right side
    123,027.75x = 69,891,761,270.25
  5. Step 5: Solve for x
    x = 69,891,761,270.25/123,027.75
  6. Step 6: Final answer
    x = 568,097.53

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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.