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Finding the Third Proportional to 174,673 and 374,245

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Solution

The third proportional to 174,673 and 374,245 is: 801,837.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,673 : 374,245 = 374,245 : x
  2. Step 2: Convert to fraction form
    174,673/374,245 = 374,245/x
  3. Step 3: Cross multiply
    174,673x = 374,245 × 374,245
  4. Step 4: Simplify right side
    174,673x = 140,059,320,025
  5. Step 5: Solve for x
    x = 140,059,320,025/174,673
  6. Step 6: Final answer
    x = 801,837.26

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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.