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Finding the Third Proportional to 176,274 and 374,256

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Solution

The third proportional to 176,274 and 374,256 is: 794,601.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,274 : 374,256 = 374,256 : x
  2. Step 2: Convert to fraction form
    176,274/374,256 = 374,256/x
  3. Step 3: Cross multiply
    176,274x = 374,256 × 374,256
  4. Step 4: Simplify right side
    176,274x = 140,067,553,536
  5. Step 5: Solve for x
    x = 140,067,553,536/176,274
  6. Step 6: Final answer
    x = 794,601.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.