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Finding the Third Proportional to 181,600 and 281,848

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Solution

The third proportional to 181,600 and 281,848 is: 437,435.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,600 : 281,848 = 281,848 : x
  2. Step 2: Convert to fraction form
    181,600/281,848 = 281,848/x
  3. Step 3: Cross multiply
    181,600x = 281,848 × 281,848
  4. Step 4: Simplify right side
    181,600x = 79,438,295,104
  5. Step 5: Solve for x
    x = 79,438,295,104/181,600
  6. Step 6: Final answer
    x = 437,435.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.