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Finding the Third Proportional to 169,019 and 259,818

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Solution

The third proportional to 169,019 and 259,818 is: 399,395.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,019 : 259,818 = 259,818 : x
  2. Step 2: Convert to fraction form
    169,019/259,818 = 259,818/x
  3. Step 3: Cross multiply
    169,019x = 259,818 × 259,818
  4. Step 4: Simplify right side
    169,019x = 67,505,393,124
  5. Step 5: Solve for x
    x = 67,505,393,124/169,019
  6. Step 6: Final answer
    x = 399,395.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.