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Finding the Third Proportional to 180,254.74 and 384,634.83

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Solution

The third proportional to 180,254.74 and 384,634.83 is: 820,749.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,254.74 : 384,634.83 = 384,634.83 : x
  2. Step 2: Convert to fraction form
    180,254.74/384,634.83 = 384,634.83/x
  3. Step 3: Cross multiply
    180,254.74x = 384,634.83 × 384,634.83
  4. Step 4: Simplify right side
    180,254.74x = 147,943,951,006.75
  5. Step 5: Solve for x
    x = 147,943,951,006.75/180,254.74
  6. Step 6: Final answer
    x = 820,749.29

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.