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Finding the Third Proportional to 195,134 and 294,238

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Solution

The third proportional to 195,134 and 294,238 is: 443,674.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,134 : 294,238 = 294,238 : x
  2. Step 2: Convert to fraction form
    195,134/294,238 = 294,238/x
  3. Step 3: Cross multiply
    195,134x = 294,238 × 294,238
  4. Step 4: Simplify right side
    195,134x = 86,576,000,644
  5. Step 5: Solve for x
    x = 86,576,000,644/195,134
  6. Step 6: Final answer
    x = 443,674.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.