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Finding the Third Proportional to 181,290.94 and 384,192.56

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Solution

The third proportional to 181,290.94 and 384,192.56 is: 814,182.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,290.94 : 384,192.56 = 384,192.56 : x
  2. Step 2: Convert to fraction form
    181,290.94/384,192.56 = 384,192.56/x
  3. Step 3: Cross multiply
    181,290.94x = 384,192.56 × 384,192.56
  4. Step 4: Simplify right side
    181,290.94x = 147,603,925,080.32
  5. Step 5: Solve for x
    x = 147,603,925,080.32/181,290.94
  6. Step 6: Final answer
    x = 814,182.59

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.