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Finding the Third Proportional to 171,008 and 255,554

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Solution

The third proportional to 171,008 and 255,554 is: 381,899.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,008 : 255,554 = 255,554 : x
  2. Step 2: Convert to fraction form
    171,008/255,554 = 255,554/x
  3. Step 3: Cross multiply
    171,008x = 255,554 × 255,554
  4. Step 4: Simplify right side
    171,008x = 65,307,846,916
  5. Step 5: Solve for x
    x = 65,307,846,916/171,008
  6. Step 6: Final answer
    x = 381,899.37

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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.