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Finding the Third Proportional to 120,198.94 and 257,073.75

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Solution

The third proportional to 120,198.94 and 257,073.75 is: 549,812.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,198.94 : 257,073.75 = 257,073.75 : x
  2. Step 2: Convert to fraction form
    120,198.94/257,073.75 = 257,073.75/x
  3. Step 3: Cross multiply
    120,198.94x = 257,073.75 × 257,073.75
  4. Step 4: Simplify right side
    120,198.94x = 66,086,912,939.06
  5. Step 5: Solve for x
    x = 66,086,912,939.06/120,198.94
  6. Step 6: Final answer
    x = 549,812.79

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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.