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Finding the Third Proportional to 165,648 and 220,697

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Solution

The third proportional to 165,648 and 220,697 is: 294,040.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,648 : 220,697 = 220,697 : x
  2. Step 2: Convert to fraction form
    165,648/220,697 = 220,697/x
  3. Step 3: Cross multiply
    165,648x = 220,697 × 220,697
  4. Step 4: Simplify right side
    165,648x = 48,707,165,809
  5. Step 5: Solve for x
    x = 48,707,165,809/165,648
  6. Step 6: Final answer
    x = 294,040.17

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.