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Finding the Third Proportional to 74,182 and 164,950

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Solution

The third proportional to 74,182 and 164,950 is: 366,780.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,182 : 164,950 = 164,950 : x
  2. Step 2: Convert to fraction form
    74,182/164,950 = 164,950/x
  3. Step 3: Cross multiply
    74,182x = 164,950 × 164,950
  4. Step 4: Simplify right side
    74,182x = 27,208,502,500
  5. Step 5: Solve for x
    x = 27,208,502,500/74,182
  6. Step 6: Final answer
    x = 366,780.38

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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.