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Finding the Third Proportional to 184,432.50 and 283,615.50

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Solution

The third proportional to 184,432.50 and 283,615.50 is: 436,136.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,432.50 : 283,615.50 = 283,615.50 : x
  2. Step 2: Convert to fraction form
    184,432.50/283,615.50 = 283,615.50/x
  3. Step 3: Cross multiply
    184,432.50x = 283,615.50 × 283,615.50
  4. Step 4: Simplify right side
    184,432.50x = 80,437,751,840.25
  5. Step 5: Solve for x
    x = 80,437,751,840.25/184,432.50
  6. Step 6: Final answer
    x = 436,136.54

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Why These Related Problems?

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