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Finding the Third Proportional to 106,450 and 177,408

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Solution

The third proportional to 106,450 and 177,408 is: 295,665.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,450 : 177,408 = 177,408 : x
  2. Step 2: Convert to fraction form
    106,450/177,408 = 177,408/x
  3. Step 3: Cross multiply
    106,450x = 177,408 × 177,408
  4. Step 4: Simplify right side
    106,450x = 31,473,598,464
  5. Step 5: Solve for x
    x = 31,473,598,464/106,450
  6. Step 6: Final answer
    x = 295,665.56

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.