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Finding the Third Proportional to 74,170 and 164,355

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Solution

The third proportional to 74,170 and 164,355 is: 364,198.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,170 : 164,355 = 164,355 : x
  2. Step 2: Convert to fraction form
    74,170/164,355 = 164,355/x
  3. Step 3: Cross multiply
    74,170x = 164,355 × 164,355
  4. Step 4: Simplify right side
    74,170x = 27,012,566,025
  5. Step 5: Solve for x
    x = 27,012,566,025/74,170
  6. Step 6: Final answer
    x = 364,198.00

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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.