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Finding the Third Proportional to 184,190.63 and 275,148.56

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Solution

The third proportional to 184,190.63 and 275,148.56 is: 411,023.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,190.63 : 275,148.56 = 275,148.56 : x
  2. Step 2: Convert to fraction form
    184,190.63/275,148.56 = 275,148.56/x
  3. Step 3: Cross multiply
    184,190.63x = 275,148.56 × 275,148.56
  4. Step 4: Simplify right side
    184,190.63x = 75,706,731,445.82
  5. Step 5: Solve for x
    x = 75,706,731,445.82/184,190.63
  6. Step 6: Final answer
    x = 411,023.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.