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Finding the Third Proportional to 169,486 and 368,131

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Solution

The third proportional to 169,486 and 368,131 is: 799,596.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,486 : 368,131 = 368,131 : x
  2. Step 2: Convert to fraction form
    169,486/368,131 = 368,131/x
  3. Step 3: Cross multiply
    169,486x = 368,131 × 368,131
  4. Step 4: Simplify right side
    169,486x = 135,520,433,161
  5. Step 5: Solve for x
    x = 135,520,433,161/169,486
  6. Step 6: Final answer
    x = 799,596.62

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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.