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Finding the Third Proportional to 74,186 and 164,958

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Solution

The third proportional to 74,186 and 164,958 is: 366,796.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,186 : 164,958 = 164,958 : x
  2. Step 2: Convert to fraction form
    74,186/164,958 = 164,958/x
  3. Step 3: Cross multiply
    74,186x = 164,958 × 164,958
  4. Step 4: Simplify right side
    74,186x = 27,211,141,764
  5. Step 5: Solve for x
    x = 27,211,141,764/74,186
  6. Step 6: Final answer
    x = 366,796.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.