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Finding the Third Proportional to 184,800 and 281,088

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Solution

The third proportional to 184,800 and 281,088 is: 427,545.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,800 : 281,088 = 281,088 : x
  2. Step 2: Convert to fraction form
    184,800/281,088 = 281,088/x
  3. Step 3: Cross multiply
    184,800x = 281,088 × 281,088
  4. Step 4: Simplify right side
    184,800x = 79,010,463,744
  5. Step 5: Solve for x
    x = 79,010,463,744/184,800
  6. Step 6: Final answer
    x = 427,545.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.