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Finding the Third Proportional to 174,674 and 374,251

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Solution

The third proportional to 174,674 and 374,251 is: 801,858.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,674 : 374,251 = 374,251 : x
  2. Step 2: Convert to fraction form
    174,674/374,251 = 374,251/x
  3. Step 3: Cross multiply
    174,674x = 374,251 × 374,251
  4. Step 4: Simplify right side
    174,674x = 140,063,811,001
  5. Step 5: Solve for x
    x = 140,063,811,001/174,674
  6. Step 6: Final answer
    x = 801,858.38

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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.