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Finding the Third Proportional to 184,732.21 and 399,826.13

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Solution

The third proportional to 184,732.21 and 399,826.13 is: 865,365.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,732.21 : 399,826.13 = 399,826.13 : x
  2. Step 2: Convert to fraction form
    184,732.21/399,826.13 = 399,826.13/x
  3. Step 3: Cross multiply
    184,732.21x = 399,826.13 × 399,826.13
  4. Step 4: Simplify right side
    184,732.21x = 159,860,930,232.52
  5. Step 5: Solve for x
    x = 159,860,930,232.52/184,732.21
  6. Step 6: Final answer
    x = 865,365.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.