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Finding the Third Proportional to 135,950 and 295,250

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Solution

The third proportional to 135,950 and 295,250 is: 641,210.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,950 : 295,250 = 295,250 : x
  2. Step 2: Convert to fraction form
    135,950/295,250 = 295,250/x
  3. Step 3: Cross multiply
    135,950x = 295,250 × 295,250
  4. Step 4: Simplify right side
    135,950x = 87,172,562,500
  5. Step 5: Solve for x
    x = 87,172,562,500/135,950
  6. Step 6: Final answer
    x = 641,210.46

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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.