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Finding the Third Proportional to 192,163 and 288,861

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Solution

The third proportional to 192,163 and 288,861 is: 434,218.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,163 : 288,861 = 288,861 : x
  2. Step 2: Convert to fraction form
    192,163/288,861 = 288,861/x
  3. Step 3: Cross multiply
    192,163x = 288,861 × 288,861
  4. Step 4: Simplify right side
    192,163x = 83,440,677,321
  5. Step 5: Solve for x
    x = 83,440,677,321/192,163
  6. Step 6: Final answer
    x = 434,218.23

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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.