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Finding the Third Proportional to 74,190 and 164,967

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Solution

The third proportional to 74,190 and 164,967 is: 366,816.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,190 : 164,967 = 164,967 : x
  2. Step 2: Convert to fraction form
    74,190/164,967 = 164,967/x
  3. Step 3: Cross multiply
    74,190x = 164,967 × 164,967
  4. Step 4: Simplify right side
    74,190x = 27,214,111,089
  5. Step 5: Solve for x
    x = 27,214,111,089/74,190
  6. Step 6: Final answer
    x = 366,816.43

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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.