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Finding the Third Proportional to 184,982 and 398,026

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Solution

The third proportional to 184,982 and 398,026 is: 856,433.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,982 : 398,026 = 398,026 : x
  2. Step 2: Convert to fraction form
    184,982/398,026 = 398,026/x
  3. Step 3: Cross multiply
    184,982x = 398,026 × 398,026
  4. Step 4: Simplify right side
    184,982x = 158,424,696,676
  5. Step 5: Solve for x
    x = 158,424,696,676/184,982
  6. Step 6: Final answer
    x = 856,433.04

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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.