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Finding the Third Proportional to 174,676 and 374,276

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Solution

The third proportional to 174,676 and 374,276 is: 801,956.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,676 : 374,276 = 374,276 : x
  2. Step 2: Convert to fraction form
    174,676/374,276 = 374,276/x
  3. Step 3: Cross multiply
    174,676x = 374,276 × 374,276
  4. Step 4: Simplify right side
    174,676x = 140,082,524,176
  5. Step 5: Solve for x
    x = 140,082,524,176/174,676
  6. Step 6: Final answer
    x = 801,956.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.