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Finding the Third Proportional to 133,815.38 and 288,520.31

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Solution

The third proportional to 133,815.38 and 288,520.31 is: 622,080.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,815.38 : 288,520.31 = 288,520.31 : x
  2. Step 2: Convert to fraction form
    133,815.38/288,520.31 = 288,520.31/x
  3. Step 3: Cross multiply
    133,815.38x = 288,520.31 × 288,520.31
  4. Step 4: Simplify right side
    133,815.38x = 83,243,970,725.10
  5. Step 5: Solve for x
    x = 83,243,970,725.10/133,815.38
  6. Step 6: Final answer
    x = 622,080.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.