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Finding the Third Proportional to 189,186.89 and 283,259.21

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Solution

The third proportional to 189,186.89 and 283,259.21 is: 424,108.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,186.89 : 283,259.21 = 283,259.21 : x
  2. Step 2: Convert to fraction form
    189,186.89/283,259.21 = 283,259.21/x
  3. Step 3: Cross multiply
    189,186.89x = 283,259.21 × 283,259.21
  4. Step 4: Simplify right side
    189,186.89x = 80,235,782,793.90
  5. Step 5: Solve for x
    x = 80,235,782,793.90/189,186.89
  6. Step 6: Final answer
    x = 424,108.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.