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Finding the Third Proportional to 193,031 and 295,287

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Solution

The third proportional to 193,031 and 295,287 is: 451,711.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,031 : 295,287 = 295,287 : x
  2. Step 2: Convert to fraction form
    193,031/295,287 = 295,287/x
  3. Step 3: Cross multiply
    193,031x = 295,287 × 295,287
  4. Step 4: Simplify right side
    193,031x = 87,194,412,369
  5. Step 5: Solve for x
    x = 87,194,412,369/193,031
  6. Step 6: Final answer
    x = 451,711.97

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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.