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Finding the Third Proportional to 203,043.38 and 297,639.56

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Solution

The third proportional to 203,043.38 and 297,639.56 is: 436,307.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,043.38 : 297,639.56 = 297,639.56 : x
  2. Step 2: Convert to fraction form
    203,043.38/297,639.56 = 297,639.56/x
  3. Step 3: Cross multiply
    203,043.38x = 297,639.56 × 297,639.56
  4. Step 4: Simplify right side
    203,043.38x = 88,589,309,165.19
  5. Step 5: Solve for x
    x = 88,589,309,165.19/203,043.38
  6. Step 6: Final answer
    x = 436,307.31

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.