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Finding the Third Proportional to 192,512 and 288,768

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Solution

The third proportional to 192,512 and 288,768 is: 433,152

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,512 : 288,768 = 288,768 : x
  2. Step 2: Convert to fraction form
    192,512/288,768 = 288,768/x
  3. Step 3: Cross multiply
    192,512x = 288,768 × 288,768
  4. Step 4: Simplify right side
    192,512x = 83,386,957,824
  5. Step 5: Solve for x
    x = 83,386,957,824/192,512
  6. Step 6: Final answer
    x = 433,152

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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.