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Finding the Third Proportional to 123,635.25 and 264,764.25

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Solution

The third proportional to 123,635.25 and 264,764.25 is: 566,991.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,635.25 : 264,764.25 = 264,764.25 : x
  2. Step 2: Convert to fraction form
    123,635.25/264,764.25 = 264,764.25/x
  3. Step 3: Cross multiply
    123,635.25x = 264,764.25 × 264,764.25
  4. Step 4: Simplify right side
    123,635.25x = 70,100,108,078.06
  5. Step 5: Solve for x
    x = 70,100,108,078.06/123,635.25
  6. Step 6: Final answer
    x = 566,991.28

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