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Finding the Third Proportional to 201,154 and 303,782

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Solution

The third proportional to 201,154 and 303,782 is: 458,770.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,154 : 303,782 = 303,782 : x
  2. Step 2: Convert to fraction form
    201,154/303,782 = 303,782/x
  3. Step 3: Cross multiply
    201,154x = 303,782 × 303,782
  4. Step 4: Simplify right side
    201,154x = 92,283,503,524
  5. Step 5: Solve for x
    x = 92,283,503,524/201,154
  6. Step 6: Final answer
    x = 458,770.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.