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Finding the Third Proportional to 135,729 and 320,922

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Solution

The third proportional to 135,729 and 320,922 is: 758,798.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,729 : 320,922 = 320,922 : x
  2. Step 2: Convert to fraction form
    135,729/320,922 = 320,922/x
  3. Step 3: Cross multiply
    135,729x = 320,922 × 320,922
  4. Step 4: Simplify right side
    135,729x = 102,990,930,084
  5. Step 5: Solve for x
    x = 102,990,930,084/135,729
  6. Step 6: Final answer
    x = 758,798.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.