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Finding the Third Proportional to 168,784 and 254,256

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Solution

The third proportional to 168,784 and 254,256 is: 383,010.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,784 : 254,256 = 254,256 : x
  2. Step 2: Convert to fraction form
    168,784/254,256 = 254,256/x
  3. Step 3: Cross multiply
    168,784x = 254,256 × 254,256
  4. Step 4: Simplify right side
    168,784x = 64,646,113,536
  5. Step 5: Solve for x
    x = 64,646,113,536/168,784
  6. Step 6: Final answer
    x = 383,010.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.