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Finding the Third Proportional to 174,860 and 374,652

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Solution

The third proportional to 174,860 and 374,652 is: 802,722.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,860 : 374,652 = 374,652 : x
  2. Step 2: Convert to fraction form
    174,860/374,652 = 374,652/x
  3. Step 3: Cross multiply
    174,860x = 374,652 × 374,652
  4. Step 4: Simplify right side
    174,860x = 140,364,121,104
  5. Step 5: Solve for x
    x = 140,364,121,104/174,860
  6. Step 6: Final answer
    x = 802,722.87

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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.