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Finding the Third Proportional to 169,240 and 371,698

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Solution

The third proportional to 169,240 and 371,698 is: 816,351.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,240 : 371,698 = 371,698 : x
  2. Step 2: Convert to fraction form
    169,240/371,698 = 371,698/x
  3. Step 3: Cross multiply
    169,240x = 371,698 × 371,698
  4. Step 4: Simplify right side
    169,240x = 138,159,403,204
  5. Step 5: Solve for x
    x = 138,159,403,204/169,240
  6. Step 6: Final answer
    x = 816,351.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.