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Finding the Third Proportional to 171,000 and 255,543

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Solution

The third proportional to 171,000 and 255,543 is: 381,884.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,000 : 255,543 = 255,543 : x
  2. Step 2: Convert to fraction form
    171,000/255,543 = 255,543/x
  3. Step 3: Cross multiply
    171,000x = 255,543 × 255,543
  4. Step 4: Simplify right side
    171,000x = 65,302,224,849
  5. Step 5: Solve for x
    x = 65,302,224,849/171,000
  6. Step 6: Final answer
    x = 381,884.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.