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Finding the Third Proportional to 84,290 and 194,644

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Solution

The third proportional to 84,290 and 194,644 is: 449,475.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,290 : 194,644 = 194,644 : x
  2. Step 2: Convert to fraction form
    84,290/194,644 = 194,644/x
  3. Step 3: Cross multiply
    84,290x = 194,644 × 194,644
  4. Step 4: Simplify right side
    84,290x = 37,886,286,736
  5. Step 5: Solve for x
    x = 37,886,286,736/84,290
  6. Step 6: Final answer
    x = 449,475.46

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.