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Finding the Third Proportional to 174,744 and 374,976

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Solution

The third proportional to 174,744 and 374,976 is: 804,645.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,744 : 374,976 = 374,976 : x
  2. Step 2: Convert to fraction form
    174,744/374,976 = 374,976/x
  3. Step 3: Cross multiply
    174,744x = 374,976 × 374,976
  4. Step 4: Simplify right side
    174,744x = 140,607,000,576
  5. Step 5: Solve for x
    x = 140,607,000,576/174,744
  6. Step 6: Final answer
    x = 804,645.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.