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Finding the Third Proportional to 178,108 and 275,431

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Solution

The third proportional to 178,108 and 275,431 is: 425,933.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,108 : 275,431 = 275,431 : x
  2. Step 2: Convert to fraction form
    178,108/275,431 = 275,431/x
  3. Step 3: Cross multiply
    178,108x = 275,431 × 275,431
  4. Step 4: Simplify right side
    178,108x = 75,862,235,761
  5. Step 5: Solve for x
    x = 75,862,235,761/178,108
  6. Step 6: Final answer
    x = 425,933.90

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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.