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Finding the Third Proportional to 184,429.50 and 283,611

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Solution

The third proportional to 184,429.50 and 283,611 is: 436,129.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,429.50 : 283,611 = 283,611 : x
  2. Step 2: Convert to fraction form
    184,429.50/283,611 = 283,611/x
  3. Step 3: Cross multiply
    184,429.50x = 283,611 × 283,611
  4. Step 4: Simplify right side
    184,429.50x = 80,435,199,321
  5. Step 5: Solve for x
    x = 80,435,199,321/184,429.50
  6. Step 6: Final answer
    x = 436,129.79

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.