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Finding the Third Proportional to 184,369.50 and 281,475

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Solution

The third proportional to 184,369.50 and 281,475 is: 429,724.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,369.50 : 281,475 = 281,475 : x
  2. Step 2: Convert to fraction form
    184,369.50/281,475 = 281,475/x
  3. Step 3: Cross multiply
    184,369.50x = 281,475 × 281,475
  4. Step 4: Simplify right side
    184,369.50x = 79,228,175,625
  5. Step 5: Solve for x
    x = 79,228,175,625/184,369.50
  6. Step 6: Final answer
    x = 429,724.96

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