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Finding the Third Proportional to 192,312 and 419,616

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Solution

The third proportional to 192,312 and 419,616 is: 915,582.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,312 : 419,616 = 419,616 : x
  2. Step 2: Convert to fraction form
    192,312/419,616 = 419,616/x
  3. Step 3: Cross multiply
    192,312x = 419,616 × 419,616
  4. Step 4: Simplify right side
    192,312x = 176,077,587,456
  5. Step 5: Solve for x
    x = 176,077,587,456/192,312
  6. Step 6: Final answer
    x = 915,582.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.