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Finding the Third Proportional to 192,241.69 and 291,228.75

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Solution

The third proportional to 192,241.69 and 291,228.75 is: 441,185.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,241.69 : 291,228.75 = 291,228.75 : x
  2. Step 2: Convert to fraction form
    192,241.69/291,228.75 = 291,228.75/x
  3. Step 3: Cross multiply
    192,241.69x = 291,228.75 × 291,228.75
  4. Step 4: Simplify right side
    192,241.69x = 84,814,184,826.56
  5. Step 5: Solve for x
    x = 84,814,184,826.56/192,241.69
  6. Step 6: Final answer
    x = 441,185.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.