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Finding the Third Proportional to 179,823 and 364,962

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Solution

The third proportional to 179,823 and 364,962 is: 740,713.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,823 : 364,962 = 364,962 : x
  2. Step 2: Convert to fraction form
    179,823/364,962 = 364,962/x
  3. Step 3: Cross multiply
    179,823x = 364,962 × 364,962
  4. Step 4: Simplify right side
    179,823x = 133,197,261,444
  5. Step 5: Solve for x
    x = 133,197,261,444/179,823
  6. Step 6: Final answer
    x = 740,713.15

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.