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Finding the Third Proportional to 106,444 and 177,400

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Solution

The third proportional to 106,444 and 177,400 is: 295,655.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,444 : 177,400 = 177,400 : x
  2. Step 2: Convert to fraction form
    106,444/177,400 = 177,400/x
  3. Step 3: Cross multiply
    106,444x = 177,400 × 177,400
  4. Step 4: Simplify right side
    106,444x = 31,470,760,000
  5. Step 5: Solve for x
    x = 31,470,760,000/106,444
  6. Step 6: Final answer
    x = 295,655.56

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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.