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Finding the Third Proportional to 123,114.75 and 264,620.25

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Solution

The third proportional to 123,114.75 and 264,620.25 is: 568,769.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,114.75 : 264,620.25 = 264,620.25 : x
  2. Step 2: Convert to fraction form
    123,114.75/264,620.25 = 264,620.25/x
  3. Step 3: Cross multiply
    123,114.75x = 264,620.25 × 264,620.25
  4. Step 4: Simplify right side
    123,114.75x = 70,023,876,710.06
  5. Step 5: Solve for x
    x = 70,023,876,710.06/123,114.75
  6. Step 6: Final answer
    x = 568,769.19

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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.