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Finding the Third Proportional to 163,832 and 220,156

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Solution

The third proportional to 163,832 and 220,156 is: 295,843.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,832 : 220,156 = 220,156 : x
  2. Step 2: Convert to fraction form
    163,832/220,156 = 220,156/x
  3. Step 3: Cross multiply
    163,832x = 220,156 × 220,156
  4. Step 4: Simplify right side
    163,832x = 48,468,664,336
  5. Step 5: Solve for x
    x = 48,468,664,336/163,832
  6. Step 6: Final answer
    x = 295,843.70

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.