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Finding the Third Proportional to 194,852 and 418,820

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Solution

The third proportional to 194,852 and 418,820 is: 900,222.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,852 : 418,820 = 418,820 : x
  2. Step 2: Convert to fraction form
    194,852/418,820 = 418,820/x
  3. Step 3: Cross multiply
    194,852x = 418,820 × 418,820
  4. Step 4: Simplify right side
    194,852x = 175,410,192,400
  5. Step 5: Solve for x
    x = 175,410,192,400/194,852
  6. Step 6: Final answer
    x = 900,222.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.