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Finding the Third Proportional to 169,016 and 259,814

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Solution

The third proportional to 169,016 and 259,814 is: 399,390.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,016 : 259,814 = 259,814 : x
  2. Step 2: Convert to fraction form
    169,016/259,814 = 259,814/x
  3. Step 3: Cross multiply
    169,016x = 259,814 × 259,814
  4. Step 4: Simplify right side
    169,016x = 67,503,314,596
  5. Step 5: Solve for x
    x = 67,503,314,596/169,016
  6. Step 6: Final answer
    x = 399,390.08

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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.