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Finding the Third Proportional to 168,614 and 254,034

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Solution

The third proportional to 168,614 and 254,034 is: 382,727.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,614 : 254,034 = 254,034 : x
  2. Step 2: Convert to fraction form
    168,614/254,034 = 254,034/x
  3. Step 3: Cross multiply
    168,614x = 254,034 × 254,034
  4. Step 4: Simplify right side
    168,614x = 64,533,273,156
  5. Step 5: Solve for x
    x = 64,533,273,156/168,614
  6. Step 6: Final answer
    x = 382,727.85

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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.