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Finding the Third Proportional to 184,225 and 281,683.50

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Solution

The third proportional to 184,225 and 281,683.50 is: 430,699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,225 : 281,683.50 = 281,683.50 : x
  2. Step 2: Convert to fraction form
    184,225/281,683.50 = 281,683.50/x
  3. Step 3: Cross multiply
    184,225x = 281,683.50 × 281,683.50
  4. Step 4: Simplify right side
    184,225x = 79,345,594,172.25
  5. Step 5: Solve for x
    x = 79,345,594,172.25/184,225
  6. Step 6: Final answer
    x = 430,699.38

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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.