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Finding the Third Proportional to 209,120 and 332,370

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Solution

The third proportional to 209,120 and 332,370 is: 528,260.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,120 : 332,370 = 332,370 : x
  2. Step 2: Convert to fraction form
    209,120/332,370 = 332,370/x
  3. Step 3: Cross multiply
    209,120x = 332,370 × 332,370
  4. Step 4: Simplify right side
    209,120x = 110,469,816,900
  5. Step 5: Solve for x
    x = 110,469,816,900/209,120
  6. Step 6: Final answer
    x = 528,260.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.