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Finding the Third Proportional to 135,852 and 295,042

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Solution

The third proportional to 135,852 and 295,042 is: 640,769.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,852 : 295,042 = 295,042 : x
  2. Step 2: Convert to fraction form
    135,852/295,042 = 295,042/x
  3. Step 3: Cross multiply
    135,852x = 295,042 × 295,042
  4. Step 4: Simplify right side
    135,852x = 87,049,781,764
  5. Step 5: Solve for x
    x = 87,049,781,764/135,852
  6. Step 6: Final answer
    x = 640,769.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.