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Finding the Third Proportional to 174,676 and 374,282

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Solution

The third proportional to 174,676 and 374,282 is: 801,982.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,676 : 374,282 = 374,282 : x
  2. Step 2: Convert to fraction form
    174,676/374,282 = 374,282/x
  3. Step 3: Cross multiply
    174,676x = 374,282 × 374,282
  4. Step 4: Simplify right side
    174,676x = 140,087,015,524
  5. Step 5: Solve for x
    x = 140,087,015,524/174,676
  6. Step 6: Final answer
    x = 801,982.04

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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.