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Finding the Third Proportional to 169,236.21 and 360,205.73

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Solution

The third proportional to 169,236.21 and 360,205.73 is: 766,669.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,236.21 : 360,205.73 = 360,205.73 : x
  2. Step 2: Convert to fraction form
    169,236.21/360,205.73 = 360,205.73/x
  3. Step 3: Cross multiply
    169,236.21x = 360,205.73 × 360,205.73
  4. Step 4: Simplify right side
    169,236.21x = 129,748,171,076.63
  5. Step 5: Solve for x
    x = 129,748,171,076.63/169,236.21
  6. Step 6: Final answer
    x = 766,669.09

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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.