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Finding the Third Proportional to 168,998 and 342,664

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Solution

The third proportional to 168,998 and 342,664 is: 694,792.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,998 : 342,664 = 342,664 : x
  2. Step 2: Convert to fraction form
    168,998/342,664 = 342,664/x
  3. Step 3: Cross multiply
    168,998x = 342,664 × 342,664
  4. Step 4: Simplify right side
    168,998x = 117,418,616,896
  5. Step 5: Solve for x
    x = 117,418,616,896/168,998
  6. Step 6: Final answer
    x = 694,792.94

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.