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Finding the Third Proportional to 169,588 and 368,698

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Solution

The third proportional to 169,588 and 368,698 is: 801,579.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,588 : 368,698 = 368,698 : x
  2. Step 2: Convert to fraction form
    169,588/368,698 = 368,698/x
  3. Step 3: Cross multiply
    169,588x = 368,698 × 368,698
  4. Step 4: Simplify right side
    169,588x = 135,938,215,204
  5. Step 5: Solve for x
    x = 135,938,215,204/169,588
  6. Step 6: Final answer
    x = 801,579.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.