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Finding the Third Proportional to 74,848 and 164,456

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Solution

The third proportional to 74,848 and 164,456 is: 361,342.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,848 : 164,456 = 164,456 : x
  2. Step 2: Convert to fraction form
    74,848/164,456 = 164,456/x
  3. Step 3: Cross multiply
    74,848x = 164,456 × 164,456
  4. Step 4: Simplify right side
    74,848x = 27,045,775,936
  5. Step 5: Solve for x
    x = 27,045,775,936/74,848
  6. Step 6: Final answer
    x = 361,342.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.