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Finding the Third Proportional to 184,220 and 281,676

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Solution

The third proportional to 184,220 and 281,676 is: 430,688.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,220 : 281,676 = 281,676 : x
  2. Step 2: Convert to fraction form
    184,220/281,676 = 281,676/x
  3. Step 3: Cross multiply
    184,220x = 281,676 × 281,676
  4. Step 4: Simplify right side
    184,220x = 79,341,368,976
  5. Step 5: Solve for x
    x = 79,341,368,976/184,220
  6. Step 6: Final answer
    x = 430,688.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.