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Finding the Third Proportional to 178,002 and 275,526

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Solution

The third proportional to 178,002 and 275,526 is: 426,481.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,002 : 275,526 = 275,526 : x
  2. Step 2: Convert to fraction form
    178,002/275,526 = 275,526/x
  3. Step 3: Cross multiply
    178,002x = 275,526 × 275,526
  4. Step 4: Simplify right side
    178,002x = 75,914,576,676
  5. Step 5: Solve for x
    x = 75,914,576,676/178,002
  6. Step 6: Final answer
    x = 426,481.59

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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.