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Finding the Third Proportional to 193,540 and 304,134

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Solution

The third proportional to 193,540 and 304,134 is: 477,924.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,540 : 304,134 = 304,134 : x
  2. Step 2: Convert to fraction form
    193,540/304,134 = 304,134/x
  3. Step 3: Cross multiply
    193,540x = 304,134 × 304,134
  4. Step 4: Simplify right side
    193,540x = 92,497,489,956
  5. Step 5: Solve for x
    x = 92,497,489,956/193,540
  6. Step 6: Final answer
    x = 477,924.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.