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Finding the Third Proportional to 171,799 and 256,905

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Solution

The third proportional to 171,799 and 256,905 is: 384,170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,799 : 256,905 = 256,905 : x
  2. Step 2: Convert to fraction form
    171,799/256,905 = 256,905/x
  3. Step 3: Cross multiply
    171,799x = 256,905 × 256,905
  4. Step 4: Simplify right side
    171,799x = 66,000,179,025
  5. Step 5: Solve for x
    x = 66,000,179,025/171,799
  6. Step 6: Final answer
    x = 384,170.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.