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Finding the Third Proportional to 123,245.75 and 252,331.75

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Solution

The third proportional to 123,245.75 and 252,331.75 is: 516,620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,245.75 : 252,331.75 = 252,331.75 : x
  2. Step 2: Convert to fraction form
    123,245.75/252,331.75 = 252,331.75/x
  3. Step 3: Cross multiply
    123,245.75x = 252,331.75 × 252,331.75
  4. Step 4: Simplify right side
    123,245.75x = 63,671,312,058.06
  5. Step 5: Solve for x
    x = 63,671,312,058.06/123,245.75
  6. Step 6: Final answer
    x = 516,620.75

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.