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Finding the Third Proportional to 174,614 and 374,716

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Solution

The third proportional to 174,614 and 374,716 is: 804,128.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,614 : 374,716 = 374,716 : x
  2. Step 2: Convert to fraction form
    174,614/374,716 = 374,716/x
  3. Step 3: Cross multiply
    174,614x = 374,716 × 374,716
  4. Step 4: Simplify right side
    174,614x = 140,412,080,656
  5. Step 5: Solve for x
    x = 140,412,080,656/174,614
  6. Step 6: Final answer
    x = 804,128.42

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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.