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Finding the Third Proportional to 135,996.75 and 296,187.75

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Solution

The third proportional to 135,996.75 and 296,187.75 is: 645,068.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,996.75 : 296,187.75 = 296,187.75 : x
  2. Step 2: Convert to fraction form
    135,996.75/296,187.75 = 296,187.75/x
  3. Step 3: Cross multiply
    135,996.75x = 296,187.75 × 296,187.75
  4. Step 4: Simplify right side
    135,996.75x = 87,727,183,250.06
  5. Step 5: Solve for x
    x = 87,727,183,250.06/135,996.75
  6. Step 6: Final answer
    x = 645,068.23

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Why These Related Problems?

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