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Finding the Third Proportional to 87,296 and 191,584

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Solution

The third proportional to 87,296 and 191,584 is: 420,459.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,296 : 191,584 = 191,584 : x
  2. Step 2: Convert to fraction form
    87,296/191,584 = 191,584/x
  3. Step 3: Cross multiply
    87,296x = 191,584 × 191,584
  4. Step 4: Simplify right side
    87,296x = 36,704,429,056
  5. Step 5: Solve for x
    x = 36,704,429,056/87,296
  6. Step 6: Final answer
    x = 420,459.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.