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Finding the Third Proportional to 192,816 and 288,200

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Solution

The third proportional to 192,816 and 288,200 is: 430,769.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,816 : 288,200 = 288,200 : x
  2. Step 2: Convert to fraction form
    192,816/288,200 = 288,200/x
  3. Step 3: Cross multiply
    192,816x = 288,200 × 288,200
  4. Step 4: Simplify right side
    192,816x = 83,059,240,000
  5. Step 5: Solve for x
    x = 83,059,240,000/192,816
  6. Step 6: Final answer
    x = 430,769.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.