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Finding the Third Proportional to 147,936 and 220,692

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Solution

The third proportional to 147,936 and 220,692 is: 329,229.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,936 : 220,692 = 220,692 : x
  2. Step 2: Convert to fraction form
    147,936/220,692 = 220,692/x
  3. Step 3: Cross multiply
    147,936x = 220,692 × 220,692
  4. Step 4: Simplify right side
    147,936x = 48,704,958,864
  5. Step 5: Solve for x
    x = 48,704,958,864/147,936
  6. Step 6: Final answer
    x = 329,229.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.