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Finding the Third Proportional to 123,679.50 and 264,849

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Solution

The third proportional to 123,679.50 and 264,849 is: 567,151.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,679.50 : 264,849 = 264,849 : x
  2. Step 2: Convert to fraction form
    123,679.50/264,849 = 264,849/x
  3. Step 3: Cross multiply
    123,679.50x = 264,849 × 264,849
  4. Step 4: Simplify right side
    123,679.50x = 70,144,992,801
  5. Step 5: Solve for x
    x = 70,144,992,801/123,679.50
  6. Step 6: Final answer
    x = 567,151.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.