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Finding the Third Proportional to 189,191 and 283,265

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Solution

The third proportional to 189,191 and 283,265 is: 424,116.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,191 : 283,265 = 283,265 : x
  2. Step 2: Convert to fraction form
    189,191/283,265 = 283,265/x
  3. Step 3: Cross multiply
    189,191x = 283,265 × 283,265
  4. Step 4: Simplify right side
    189,191x = 80,239,060,225
  5. Step 5: Solve for x
    x = 80,239,060,225/189,191
  6. Step 6: Final answer
    x = 424,116.69

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