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Finding the Third Proportional to 209,800.13 and 332,716.78

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Solution

The third proportional to 209,800.13 and 332,716.78 is: 527,647.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,800.13 : 332,716.78 = 332,716.78 : x
  2. Step 2: Convert to fraction form
    209,800.13/332,716.78 = 332,716.78/x
  3. Step 3: Cross multiply
    209,800.13x = 332,716.78 × 332,716.78
  4. Step 4: Simplify right side
    209,800.13x = 110,700,456,525.36
  5. Step 5: Solve for x
    x = 110,700,456,525.36/209,800.13
  6. Step 6: Final answer
    x = 527,647.24

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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.