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Finding the Third Proportional to 204,342.75 and 436,731.75

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Solution

The third proportional to 204,342.75 and 436,731.75 is: 933,405.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,342.75 : 436,731.75 = 436,731.75 : x
  2. Step 2: Convert to fraction form
    204,342.75/436,731.75 = 436,731.75/x
  3. Step 3: Cross multiply
    204,342.75x = 436,731.75 × 436,731.75
  4. Step 4: Simplify right side
    204,342.75x = 190,734,621,458.06
  5. Step 5: Solve for x
    x = 190,734,621,458.06/204,342.75
  6. Step 6: Final answer
    x = 933,405.38

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.