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Finding the Third Proportional to 183,399.19 and 378,583.88

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Solution

The third proportional to 183,399.19 and 378,583.88 is: 781,496.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,399.19 : 378,583.88 = 378,583.88 : x
  2. Step 2: Convert to fraction form
    183,399.19/378,583.88 = 378,583.88/x
  3. Step 3: Cross multiply
    183,399.19x = 378,583.88 × 378,583.88
  4. Step 4: Simplify right side
    183,399.19x = 143,325,750,410.02
  5. Step 5: Solve for x
    x = 143,325,750,410.02/183,399.19
  6. Step 6: Final answer
    x = 781,496.10

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.