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Finding the Third Proportional to 184,101.75 and 281,505.38

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Solution

The third proportional to 184,101.75 and 281,505.38 is: 430,442.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,101.75 : 281,505.38 = 281,505.38 : x
  2. Step 2: Convert to fraction form
    184,101.75/281,505.38 = 281,505.38/x
  3. Step 3: Cross multiply
    184,101.75x = 281,505.38 × 281,505.38
  4. Step 4: Simplify right side
    184,101.75x = 79,245,276,153.89
  5. Step 5: Solve for x
    x = 79,245,276,153.89/184,101.75
  6. Step 6: Final answer
    x = 430,442.82

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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.