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Finding the Third Proportional to 220,150 and 340,147

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Solution

The third proportional to 220,150 and 340,147 is: 525,550.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,150 : 340,147 = 340,147 : x
  2. Step 2: Convert to fraction form
    220,150/340,147 = 340,147/x
  3. Step 3: Cross multiply
    220,150x = 340,147 × 340,147
  4. Step 4: Simplify right side
    220,150x = 115,699,981,609
  5. Step 5: Solve for x
    x = 115,699,981,609/220,150
  6. Step 6: Final answer
    x = 525,550.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.