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Finding the Third Proportional to 171,800 and 369,004

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Solution

The third proportional to 171,800 and 369,004 is: 792,572.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,800 : 369,004 = 369,004 : x
  2. Step 2: Convert to fraction form
    171,800/369,004 = 369,004/x
  3. Step 3: Cross multiply
    171,800x = 369,004 × 369,004
  4. Step 4: Simplify right side
    171,800x = 136,163,952,016
  5. Step 5: Solve for x
    x = 136,163,952,016/171,800
  6. Step 6: Final answer
    x = 792,572.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.