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Finding the Third Proportional to 135,676 and 295,458

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Solution

The third proportional to 135,676 and 295,458 is: 643,410.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,676 : 295,458 = 295,458 : x
  2. Step 2: Convert to fraction form
    135,676/295,458 = 295,458/x
  3. Step 3: Cross multiply
    135,676x = 295,458 × 295,458
  4. Step 4: Simplify right side
    135,676x = 87,295,429,764
  5. Step 5: Solve for x
    x = 87,295,429,764/135,676
  6. Step 6: Final answer
    x = 643,410.99

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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.