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Finding the Third Proportional to 74,728 and 156,380

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Solution

The third proportional to 74,728 and 156,380 is: 327,249.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,728 : 156,380 = 156,380 : x
  2. Step 2: Convert to fraction form
    74,728/156,380 = 156,380/x
  3. Step 3: Cross multiply
    74,728x = 156,380 × 156,380
  4. Step 4: Simplify right side
    74,728x = 24,454,704,400
  5. Step 5: Solve for x
    x = 24,454,704,400/74,728
  6. Step 6: Final answer
    x = 327,249.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.