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Finding the Third Proportional to 192,964.50 and 296,934.75

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Solution

The third proportional to 192,964.50 and 296,934.75 is: 456,924.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,964.50 : 296,934.75 = 296,934.75 : x
  2. Step 2: Convert to fraction form
    192,964.50/296,934.75 = 296,934.75/x
  3. Step 3: Cross multiply
    192,964.50x = 296,934.75 × 296,934.75
  4. Step 4: Simplify right side
    192,964.50x = 88,170,245,757.56
  5. Step 5: Solve for x
    x = 88,170,245,757.56/192,964.50
  6. Step 6: Final answer
    x = 456,924.70

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.