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Finding the Third Proportional to 170,884 and 256,242

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Solution

The third proportional to 170,884 and 256,242 is: 384,237.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,884 : 256,242 = 256,242 : x
  2. Step 2: Convert to fraction form
    170,884/256,242 = 256,242/x
  3. Step 3: Cross multiply
    170,884x = 256,242 × 256,242
  4. Step 4: Simplify right side
    170,884x = 65,659,962,564
  5. Step 5: Solve for x
    x = 65,659,962,564/170,884
  6. Step 6: Final answer
    x = 384,237.04

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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.