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Finding the Third Proportional to 193,660.88 and 296,034.75

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Solution

The third proportional to 193,660.88 and 296,034.75 is: 452,525.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,660.88 : 296,034.75 = 296,034.75 : x
  2. Step 2: Convert to fraction form
    193,660.88/296,034.75 = 296,034.75/x
  3. Step 3: Cross multiply
    193,660.88x = 296,034.75 × 296,034.75
  4. Step 4: Simplify right side
    193,660.88x = 87,636,573,207.56
  5. Step 5: Solve for x
    x = 87,636,573,207.56/193,660.88
  6. Step 6: Final answer
    x = 452,525.96

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