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Finding the Third Proportional to 177,028 and 274,102

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Solution

The third proportional to 177,028 and 274,102 is: 424,406.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,028 : 274,102 = 274,102 : x
  2. Step 2: Convert to fraction form
    177,028/274,102 = 274,102/x
  3. Step 3: Cross multiply
    177,028x = 274,102 × 274,102
  4. Step 4: Simplify right side
    177,028x = 75,131,906,404
  5. Step 5: Solve for x
    x = 75,131,906,404/177,028
  6. Step 6: Final answer
    x = 424,406.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.