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Finding the Third Proportional to 193,576 and 295,285

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Solution

The third proportional to 193,576 and 295,285 is: 450,434.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,576 : 295,285 = 295,285 : x
  2. Step 2: Convert to fraction form
    193,576/295,285 = 295,285/x
  3. Step 3: Cross multiply
    193,576x = 295,285 × 295,285
  4. Step 4: Simplify right side
    193,576x = 87,193,231,225
  5. Step 5: Solve for x
    x = 87,193,231,225/193,576
  6. Step 6: Final answer
    x = 450,434.10

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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.