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Finding the Third Proportional to 171,174 and 250,422.75

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Solution

The third proportional to 171,174 and 250,422.75 is: 366,361.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,174 : 250,422.75 = 250,422.75 : x
  2. Step 2: Convert to fraction form
    171,174/250,422.75 = 250,422.75/x
  3. Step 3: Cross multiply
    171,174x = 250,422.75 × 250,422.75
  4. Step 4: Simplify right side
    171,174x = 62,711,553,717.56
  5. Step 5: Solve for x
    x = 62,711,553,717.56/171,174
  6. Step 6: Final answer
    x = 366,361.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.