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Finding the Third Proportional to 202,400 and 301,956

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Solution

The third proportional to 202,400 and 301,956 is: 450,481.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,400 : 301,956 = 301,956 : x
  2. Step 2: Convert to fraction form
    202,400/301,956 = 301,956/x
  3. Step 3: Cross multiply
    202,400x = 301,956 × 301,956
  4. Step 4: Simplify right side
    202,400x = 91,177,425,936
  5. Step 5: Solve for x
    x = 91,177,425,936/202,400
  6. Step 6: Final answer
    x = 450,481.35

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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.