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Finding the Third Proportional to 194,400 and 395,712

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Solution

The third proportional to 194,400 and 395,712 is: 805,493.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,400 : 395,712 = 395,712 : x
  2. Step 2: Convert to fraction form
    194,400/395,712 = 395,712/x
  3. Step 3: Cross multiply
    194,400x = 395,712 × 395,712
  4. Step 4: Simplify right side
    194,400x = 156,587,986,944
  5. Step 5: Solve for x
    x = 156,587,986,944/194,400
  6. Step 6: Final answer
    x = 805,493.76

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.