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Finding the Third Proportional to 209,100 and 332,718

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Solution

The third proportional to 209,100 and 332,718 is: 529,417.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,100 : 332,718 = 332,718 : x
  2. Step 2: Convert to fraction form
    209,100/332,718 = 332,718/x
  3. Step 3: Cross multiply
    209,100x = 332,718 × 332,718
  4. Step 4: Simplify right side
    209,100x = 110,701,267,524
  5. Step 5: Solve for x
    x = 110,701,267,524/209,100
  6. Step 6: Final answer
    x = 529,417.83

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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.