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Finding the Third Proportional to 135,036 and 290,846

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Solution

The third proportional to 135,036 and 290,846 is: 626,435.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,036 : 290,846 = 290,846 : x
  2. Step 2: Convert to fraction form
    135,036/290,846 = 290,846/x
  3. Step 3: Cross multiply
    135,036x = 290,846 × 290,846
  4. Step 4: Simplify right side
    135,036x = 84,591,395,716
  5. Step 5: Solve for x
    x = 84,591,395,716/135,036
  6. Step 6: Final answer
    x = 626,435.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.