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Finding the Third Proportional to 171,176 and 250,425

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Solution

The third proportional to 171,176 and 250,425 is: 366,363.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,176 : 250,425 = 250,425 : x
  2. Step 2: Convert to fraction form
    171,176/250,425 = 250,425/x
  3. Step 3: Cross multiply
    171,176x = 250,425 × 250,425
  4. Step 4: Simplify right side
    171,176x = 62,712,680,625
  5. Step 5: Solve for x
    x = 62,712,680,625/171,176
  6. Step 6: Final answer
    x = 366,363.75

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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.