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Finding the Third Proportional to 135,996.75 and 296,185.50

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Solution

The third proportional to 135,996.75 and 296,185.50 is: 645,058.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,996.75 : 296,185.50 = 296,185.50 : x
  2. Step 2: Convert to fraction form
    135,996.75/296,185.50 = 296,185.50/x
  3. Step 3: Cross multiply
    135,996.75x = 296,185.50 × 296,185.50
  4. Step 4: Simplify right side
    135,996.75x = 87,725,850,410.25
  5. Step 5: Solve for x
    x = 87,725,850,410.25/135,996.75
  6. Step 6: Final answer
    x = 645,058.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.