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Finding the Third Proportional to 163,022 and 336,520

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Solution

The third proportional to 163,022 and 336,520 is: 694,665.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,022 : 336,520 = 336,520 : x
  2. Step 2: Convert to fraction form
    163,022/336,520 = 336,520/x
  3. Step 3: Cross multiply
    163,022x = 336,520 × 336,520
  4. Step 4: Simplify right side
    163,022x = 113,245,710,400
  5. Step 5: Solve for x
    x = 113,245,710,400/163,022
  6. Step 6: Final answer
    x = 694,665.20

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.