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Finding the Third Proportional to 143,156 and 194,322

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Solution

The third proportional to 143,156 and 194,322 is: 263,775.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,156 : 194,322 = 194,322 : x
  2. Step 2: Convert to fraction form
    143,156/194,322 = 194,322/x
  3. Step 3: Cross multiply
    143,156x = 194,322 × 194,322
  4. Step 4: Simplify right side
    143,156x = 37,761,039,684
  5. Step 5: Solve for x
    x = 37,761,039,684/143,156
  6. Step 6: Final answer
    x = 263,775.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.