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Finding the Third Proportional to 257,690.11 and 393,198.68

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Solution

The third proportional to 257,690.11 and 393,198.68 is: 599,965.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,690.11 : 393,198.68 = 393,198.68 : x
  2. Step 2: Convert to fraction form
    257,690.11/393,198.68 = 393,198.68/x
  3. Step 3: Cross multiply
    257,690.11x = 393,198.68 × 393,198.68
  4. Step 4: Simplify right side
    257,690.11x = 154,605,201,707.99
  5. Step 5: Solve for x
    x = 154,605,201,707.99/257,690.11
  6. Step 6: Final answer
    x = 599,965.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.