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Finding the Third Proportional to 225,414 and 351,027

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Solution

The third proportional to 225,414 and 351,027 is: 546,638.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,414 : 351,027 = 351,027 : x
  2. Step 2: Convert to fraction form
    225,414/351,027 = 351,027/x
  3. Step 3: Cross multiply
    225,414x = 351,027 × 351,027
  4. Step 4: Simplify right side
    225,414x = 123,219,954,729
  5. Step 5: Solve for x
    x = 123,219,954,729/225,414
  6. Step 6: Final answer
    x = 546,638.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.