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Finding the Third Proportional to 135,451 and 295,886

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Solution

The third proportional to 135,451 and 295,886 is: 646,348.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,451 : 295,886 = 295,886 : x
  2. Step 2: Convert to fraction form
    135,451/295,886 = 295,886/x
  3. Step 3: Cross multiply
    135,451x = 295,886 × 295,886
  4. Step 4: Simplify right side
    135,451x = 87,548,524,996
  5. Step 5: Solve for x
    x = 87,548,524,996/135,451
  6. Step 6: Final answer
    x = 646,348.31

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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.