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Finding the Third Proportional to 192,552 and 289,668

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Solution

The third proportional to 192,552 and 289,668 is: 435,765.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,552 : 289,668 = 289,668 : x
  2. Step 2: Convert to fraction form
    192,552/289,668 = 289,668/x
  3. Step 3: Cross multiply
    192,552x = 289,668 × 289,668
  4. Step 4: Simplify right side
    192,552x = 83,907,550,224
  5. Step 5: Solve for x
    x = 83,907,550,224/192,552
  6. Step 6: Final answer
    x = 435,765.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.